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Journal articles on the topic 'Quantum channels on a graph state'

Author: Grafiati
Published: 6 September 2023

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1

Liao, Longxia, Xiaoqi Peng, Jinjing Shi, and Ying Guo. "Graph state-based quantum authentication scheme." International Journal of Modern Physics B 31, no. 09 (2017): 1750067. http://dx.doi.org/10.1142/s0217979217500679.

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Inspired by the special properties of the graph state, a quantum authentication scheme is proposed in this paper, which is implemented with the utilization of the graph state. Two entities, a reliable party, Trent, as a verifier and Alice as prover are included. Trent is responsible for registering Alice in the beginning and confirming Alice in the end. The proposed scheme is simple in structure and convenient to realize in the realistic physical system due to the use of the graph state in a one-way quantum channel. In addition, the security of the scheme is extensively analyzed and accordingl
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2

Honrubia, Efrén, and Ángel S. Sanz. "Graph Approach to Quantum Teleportation Dynamics." Quantum Reports 2, no. 3 (2020): 352–77. http://dx.doi.org/10.3390/quantum2030025.

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Quantum teleportation plays a key role in modern quantum technologies. Thus, it is of much interest to generate alternative approaches or representations that are aimed at allowing us a better understanding of the physics involved in the process from different perspectives. With this purpose, here an approach based on graph theory is introduced and discussed in the context of some applications. Its main goal is to provide a fully symbolic framework for quantum teleportation from a dynamical viewpoint, which makes explicit at each stage of the process how entanglement and information swap among
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3

Piveteau, Christophe, and Joseph M. Renes. "Quantum message-passing algorithm for optimal and efficient decoding." Quantum 6 (August 23, 2022): 784. http://dx.doi.org/10.22331/q-2022-08-23-784.

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Recently, Renes proposed a quantum algorithm called belief propagation with quantum messages (BPQM) for decoding classical data encoded using a binary linear code with tree Tanner graph that is transmitted over a pure-state CQ channel \cite{renes_2017}, i.e., a channel with classical input and pure-state quantum output. The algorithm presents a genuine quantum counterpart to decoding based on the classical belief propagation algorithm, which has found wide success in classical coding theory when used in conjunction with LDPC or Turbo codes. More recently Rengaswamy etal. \cite{rengaswamy_2020}
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4

Lowe, Angus, Matija Medvidović, Anthony Hayes, et al. "Fast quantum circuit cutting with randomized measurements." Quantum 7 (March 2, 2023): 934. http://dx.doi.org/10.22331/q-2023-03-02-934.

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We propose a new method to extend the size of a quantum computation beyond the number of physical qubits available on a single device. This is accomplished by randomly inserting measure-and-prepare channels to express the output state of a large circuit as a separable state across distinct devices. Our method employs randomized measurements, resulting in a sample overhead that is O~(4k/ε2), where ε is the accuracy of the computation and k the number of parallel wires that are "cut" to obtain smaller sub-circuits. We also show an information-theoretic lower boun
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5

Erementchouk, Mikhail, and Michael N. Leuenberger. "Entanglement Dynamics of Second Quantized Quantum Fields." ISRN Mathematical Physics 2014 (January 28, 2014): 1–19. http://dx.doi.org/10.1155/2014/264956.

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We study the entanglement dynamics in the system of coupled boson fields. We demonstrate that there are different natural notions of locality in this context leading to inequivalent notions of entanglement. We concentrate on the particle picture, when entanglement of one particle is determined by one-particle density matrix. We study, in detail, the effect of interaction preserving populations of individual one-particle states. We show that if the system is initially in a disentangled state with the definite total number of particles and the dimension of the one-particle Hilbert space is more
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6

Colafranceschi, Eugenia, and Gerardo Adesso. "Holographic entanglement in spin network states: A focused review." AVS Quantum Science 4, no. 2 (2022): 025901. http://dx.doi.org/10.1116/5.0087122.

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In the long-standing quest to reconcile gravity with quantum mechanics, profound connections have been unveiled between concepts traditionally pertaining to a quantum information theory, such as entanglement, and constitutive features of gravity, like holography. Developing and promoting these connections from the conceptual to the operational level unlock access to a powerful set of tools which can be pivotal toward the formulation of a consistent theory of quantum gravity. Here, we review recent progress on the role and applications of quantum informational methods, in particular tensor netw
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7

Bannink, Tom, Jop Briët, Farrokh Labib, and Hans Maassen. "Quasirandom quantum channels." Quantum 4 (July 16, 2020): 298. http://dx.doi.org/10.22331/q-2020-07-16-298.

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Mixing (or quasirandom) properties of the natural transition matrix associated to a graph can be quantified by its distance to the complete graph. Different mixing properties correspond to different norms to measure this distance. For dense graphs, two such properties known as spectral expansion and uniformity were shown to be equivalent in seminal 1989 work of Chung, Graham and Wilson. Recently, Conlon and Zhao extended this equivalence to the case of sparse vertex transitive graphs using the famous Grothendieck inequality. Here we generalize these results to the non-commutative, or `quantum'
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8

Li, Si-Chen, Bang-Ying Tang, Han Zhou, et al. "First Request First Service Entanglement Routing Scheme for Quantum Networks." Entropy 24, no. 10 (2022): 1404. http://dx.doi.org/10.3390/e24101404.

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Quantum networks enable many applications beyond the reach of classical networks by supporting the establishment of long-distance entanglement connections, and are already stepped into the entanglement distribution network stage. The entanglement routing with active wavelength multiplexing schemes is urgently required for satisfying the dynamic connection demands of paired users in large-scale quantum networks. In this article, the entanglement distribution network is modeled into a directed graph, where the internal connection loss among all ports within a node is considered for each supporte
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9

Benjamin, Simon C., Daniel E. Browne, Joe Fitzsimons, and John J. L. Morton. "Brokered graph-state quantum computation." New Journal of Physics 8, no. 8 (2006): 141. http://dx.doi.org/10.1088/1367-2630/8/8/141.

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10

Antonio, B., D. Markham, and J. Anders. "Adiabatic graph-state quantum computation." New Journal of Physics 16, no. 11 (2014): 113070. http://dx.doi.org/10.1088/1367-2630/16/11/113070.

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11

Weaver, Nik. "Quantum Graphs as Quantum Relations." Journal of Geometric Analysis 31, no. 9 (2021): 9090–112. http://dx.doi.org/10.1007/s12220-020-00578-w.

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AbstractThe “noncommutative graphs” which arise in quantum error correction are a special case of the quantum relations introduced in Weaver (Quantum relations. Mem Am Math Soc 215(v–vi):81–140, 2012). We use this perspective to interpret the Knill–Laflamme error-correction conditions (Knill and Laflamme in Theory of quantum error-correcting codes. Phys Rev A 55:900-911, 1997) in terms of graph-theoretic independence, to give intrinsic characterizations of Stahlke’s noncommutative graph homomorphisms (Stahlke in Quantum zero-error source-channel coding and non-commutative graph theory. IEEE Tr
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12

Rangamani, Mukund, and Massimilliano Rota. "Quantum channels in quantum gravity." International Journal of Modern Physics D 23, no. 12 (2014): 1442009. http://dx.doi.org/10.1142/s0218271814420097.

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The black hole final state proposal implements manifest unitarity in the process of black hole formation and evaporation in quantum gravity, by postulating a unique final state boundary condition at the singularity. We argue that this proposal can be embedded in the gauge/gravity context by invoking a path integral formalism inspired by the Schwinger–Keldysh like thermo-field double construction in the dual field theory. This allows us to realize the gravitational quantum channels for information retrieval to specific deformations of the field theory path integrals and opens up new connections
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13

Cao, Wei-Feng, Yu-Guang Yang, Dan Li, Jing-Ru Dong, Yi-Hua Zhou, and Wei-Min Shi. "Quantum state transfer on unsymmetrical graphs via discrete-time quantum walk." Modern Physics Letters A 34, no. 38 (2019): 1950317. http://dx.doi.org/10.1142/s0217732319503176.

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Perfect state transfer can be achieved between two marked vertices of graphs like a star graph, a complete graph with self-loops and a complete bipartite graph, and two-dimensional Lattice by means of discrete-time quantum walk. In this paper, we investigate the quality of quantum state transfer between two marked vertices of an unsymmetrical graph like the butterfly network. Our numerical results support the conjecture that the fidelity of state transfer depends on the quantum state to be transferred dynamically. The butterfly network is a typical example studied in networking coding. Therefo
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14

Schwarz, Jonathan, Jonas Cassel, Bastian Boll, Martin Gärttner, Peter Albers, and Christoph Schnörr. "Quantum State Assignment Flows." Entropy 25, no. 9 (2023): 1253. http://dx.doi.org/10.3390/e25091253.

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This paper introduces assignment flows for density matrices as state spaces for representation and analysis of data associated with vertices of an underlying weighted graph. Determining an assignment flow by geometric integration of the defining dynamical system causes an interaction of the non-commuting states across the graph, and the assignment of a pure (rank-one) state to each vertex after convergence. Adopting the Riemannian–Bogoliubov–Kubo–Mori metric from information geometry leads to closed-form local expressions that can be computed efficiently and implemented in a fine-grained paral
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15

ANGELES-CANUL, RICARDO JAVIER, RACHAEL M. NORTON, MICHAEL C. OPPERMAN, CHRISTOPHER C. PARIBELLO, MATTHEW C. RUSSELL, and CHRISTINO TAMON. "QUANTUM PERFECT STATE TRANSFER ON WEIGHTED JOIN GRAPHS." International Journal of Quantum Information 07, no. 08 (2009): 1429–45. http://dx.doi.org/10.1142/s0219749909006103.

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This paper studies quantum perfect state transfer on weighted graphs. We prove that the join of a weighted two-vertex graph with any regular graph has perfect state transfer. This generalizes a result of Casaccino et al.1 where the regular graph is a complete graph with or without a missing edge. In contrast, we prove that the half-join of a weighted two-vertex graph with any weighted regular graph has no perfect state transfer. As a corollary, unlike for complete graphs, adding weights in complete bipartite graphs does not produce perfect state transfer. We also observe that any Hamming graph
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16

Markham, Damian, and Alexandra Krause. "A Simple Protocol for Certifying Graph States and Applications in Quantum Networks." Cryptography 4, no. 1 (2020): 3. http://dx.doi.org/10.3390/cryptography4010003.

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We present a simple protocol for certifying graph states in quantum networks using stabiliser measurements. The certification statements can easily be applied to different protocols using graph states. We see, for example, how it can be used for measurement based verified quantum computation, certified sampling of random unitaries, quantum metrology and sharing quantum secrets over untrusted channels.
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17

Liao, Longxia, Xiaoqi Peng, Jinjing Shi, and Ying Guo. "Graph State-Based Quantum Group Authentication Scheme." Journal of the Physical Society of Japan 86, no. 2 (2017): 024403. http://dx.doi.org/10.7566/jpsj.86.024403.

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18

Tian, Yu-Ling, Tian-Feng Feng, and Xiao-Qi Zhou. "Collaborative quantum computation with redundant graph state." Acta Physica Sinica 68, no. 11 (2019): 110302. http://dx.doi.org/10.7498/aps.68.20190142.

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19

Smaczyński, Marek, Wojciech Roga, and Karol Życzkowski. "Selfcomplementary Quantum Channels." Open Systems & Information Dynamics 23, no. 03 (2016): 1650014. http://dx.doi.org/10.1142/s1230161216500141.

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Selfcomplementary quantum channels are characterized by such an interaction between the principal quantum system and the environment that leads to the same output states of both interacting systems. These maps can describe approximate quantum copy machines, as perfect copying of an unknown quantum state is not possible due to the celebrated no-cloning theorem. We provide here a parametrization of a large class of selfcomplementary channels and analyze their properties. Selfcomplementary channels preserve some residual coherences and residual entanglement. Investigating some measures of non-Mar
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20

Iriyama, Satoshi, and Noboru Watanabe. "On Classification of Quantum Channels." Open Systems & Information Dynamics 08, no. 01 (2001): 73–88. http://dx.doi.org/10.1023/a:1011365917780.

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Quantum mutual entropy and quantum capacity are rigorously defined by Ohya, and they are quite useful in the study of quantum communication processes [4, 7, 8, 9,10]. Mathematical models of optical communication processes are described by a quantum channel and optical states, and quantum capacity is one of the most important criteria to measure the efficiency of information transmission [4,7,8]. In actual optical communication, a laser beam is used for a signal, and it is denoted mathematically by a coherent state. Further, optical communication using a squeezed state, which is expected to be
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21

TIAN, XIU-LAO, GUO-FANG SHI, and Yong ZHAO. "QUANTUM CHANNELS OF THE QUTRIT STATE TELEPORTATION." International Journal of Quantum Information 09, no. 03 (2011): 893–901. http://dx.doi.org/10.1142/s0219749911007502.

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Qudit quantum system can carry more information than that of qubit, the teleportation of qudit state has significance in quantum information task. We propose a method to teleport a general qutrit state (three-level state) and discuss the necessary and sufficient condition for realizing a successful and perfect teleportation, which is determined by the measurement matrix Tα and the quantum channel parameter matrix (CPM) X. By using this method, we study the channels of two-qutrit state and three-qutrit state teleportation.
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22

Hilaire, Paul, Leonid Vidro, Hagai S. Eisenberg, and Sophia E. Economou. "Near-deterministic hybrid generation of arbitrary photonic graph states using a single quantum emitter and linear optics." Quantum 7 (April 27, 2023): 992. http://dx.doi.org/10.22331/q-2023-04-27-992.

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Since linear-optical two-photon gates are inherently probabilistic, measurement-based implementations are particularly well suited for photonic platforms: a large highly-entangled photonic resource state, called a graph state, is consumed through measurements to perform a computation. The challenge is thus to produce these graph states. Several generation procedures, which use either interacting quantum emitters or efficient spin-photon interface, have been proposed to create these photonic graph states deterministically. Yet, these solutions are still out of reach experimentally since the sta
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23

Santos, Raqueline A. M. "Quantum state transfer on the complete bipartite graph." Journal of Physics A: Mathematical and Theoretical 55, no. 12 (2022): 125301. http://dx.doi.org/10.1088/1751-8121/ac5217.

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Abstract Previously it was shown that (almost) perfect state transfer can be achieved on the complete bipartite graph by a discrete-time coined quantum walk based algorithm when both the sender and receiver vertices are in the same partition of the graph and when the sender and receiver are in opposite partitions of the same size. By changing the coin operator, we analyze the state transfer problem and we show that it is still possible to achieve state transfer with high fidelity even when the sender and receiver are in different partitions with different sizes. Moreover, it is also possible t
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24

Wu, Yadong, Runze Cai, Guangqiang He, and Jun Zhang. "Quantum secret sharing with continuous variable graph state." Quantum Information Processing 13, no. 5 (2013): 1085–102. http://dx.doi.org/10.1007/s11128-013-0713-7.

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25

Chi, Dong Pyo, and Kabgyun Jeong. "Approximate Quantum State Sharings via Pair of Private Quantum Channels." Journal of Quantum Information Science 04, no. 01 (2014): 64–70. http://dx.doi.org/10.4236/jqis.2014.41006.

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26

Ban, Masashi. "Quantum State Discrimination with Prior Knowledge in Noisy Quantum Channels." International Journal of Theoretical Physics 52, no. 1 (2012): 312–21. http://dx.doi.org/10.1007/s10773-012-1335-z.

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27

Herrera-Marti, David A., and Terry Rudolph. "Loss tolerance with a concatenated graph state." Quantum Information and Computation 13, no. 11&12 (2013): 995–1006. http://dx.doi.org/10.26421/qic13.11-12-6.

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A new way of addressing loss errors is introduced which combines ideas from measurement-based quantum computation and concatenated quantum codes, allowing for universal quantum computation. It is shown that for the case where qubit loss is detected upon measurement, the scheme performs well under $23\%$ loss rate. For loss rates below $10\%$ this approach performs better than the best scheme known up to date \cite{varnava2006loss}. If lost qubits are tagged prior to measurement, it can tolerate up to $50\%$ loss. The overhead per logical qubit is shown to be significantly lower than other sche
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Hong, Kyungpyo, and Seungsang Oh. "Enumeration on graph mosaics." Journal of Knot Theory and Its Ramifications 26, no. 05 (2017): 1750032. http://dx.doi.org/10.1142/s0218216517500328.

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Since the Jones polynomial was discovered, the connection between knot theory and quantum physics has been of great interest. Lomonaco and Kauffman introduced the knot mosaic system to give a definition of the quantum knot system that is intended to represent an actual physical quantum system. Recently the authors developed an algorithm producing the exact enumeration of knot mosaics, which uses a recursion formula of state matrices. As a sequel to this research program, we similarly define the (embedded) graph mosaic system by using 16 graph mosaic tiles, representing graph diagrams with vert
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29

Lai, Ching-Yi, and Runyao Duan. "On the one-shot zero-error classical capacity of classical-quantum channels assisted by quantum non-signalling correlations." Quantum Information and Computation 17, no. 5&6 (2017): 380–98. http://dx.doi.org/10.26421/qic17.5-6-2.

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Duan and Winter studied the one-shot zero-error classical capacity of a quantum channel assisted by quantum non-signalling correlations, and formulated this problem as a semidefinite program depending only on the Kraus operator space of the channel. For the class of classical-quantum channels, they showed that the asymptotic zero-error classical capacity assisted by quantum non-signalling correlations, minimized over all classicalquantum channels with a confusability graph G, is exactly log ϑ(G), where ϑ(G) is the celebrated Lov´asz theta function. In this paper, we show that the one-shot capa
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30

HU, KE-XIANG, YAN-WEI WANG, BAI-QI JIN, and YI-ZHUANG ZHENG. "TELEPORTING AN ARBITRARY TWO-PARTICLE STATE VIA W OR W-LIKE STATE." International Journal of Quantum Information 06, no. 05 (2008): 1041–49. http://dx.doi.org/10.1142/s0219749908003700.

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In this paper, we present a scheme for quantum teleportation of an arbitrary two-particle state via entangled W state or W-like state channels. We find that the success of teleportation is probabilistic and the corresponding probability only relates to the smaller coefficients of the quantum channels. We further show that the quantum teleportation could achieve higher probability using W-like state as a channel than the W state.
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Huo, Meiru, Jiliang Qin, Jialin Cheng, et al. "Deterministic quantum teleportation through fiber channels." Science Advances 4, no. 10 (2018): eaas9401. http://dx.doi.org/10.1126/sciadv.aas9401.

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Quantum teleportation, which is the transfer of an unknown quantum state from one station to another over a certain distance with the help of nonlocal entanglement shared by a sender and a receiver, has been widely used as a fundamental element in quantum communication and quantum computation. Optical fibers are crucial information channels, but teleportation of continuous variable optical modes through fibers has not been realized so far. Here, we experimentally demonstrate deterministic quantum teleportation of an optical coherent state through fiber channels. Two sub-modes of an Einstein-Po
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32

Wu, S. J., and X. M. Chen. "Unambiguous unitary quantum channels." Quantum Information and Computation 7, no. 8 (2007): 782–98. http://dx.doi.org/10.26421/qic7.8-8.

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Unambiguous unitary maps and unambiguous unitary quantum channels are introduced and some of their properties are derived. These properties ensures certain simple form for the measurements involved in realizing an unambiguous unitary quantum channel. Error correction and unambiguous error correction with nonzero probability are discussed in terms of unambiguous unitary quantum channels. We not only re-derive the well-known condition for a set of errors to be correctable with certainty, but also obtain a necessary and sufficient condition for the errors caused by a noisy channel to be correctab
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Adcock, Jeremy C., Sam Morley-Short, Axel Dahlberg, and Joshua W. Silverstone. "Mapping graph state orbits under local complementation." Quantum 4 (August 7, 2020): 305. http://dx.doi.org/10.22331/q-2020-08-07-305.

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Graph states, and the entanglement they posses, are central to modern quantum computing and communications architectures. Local complementation – the graph operation that links all local-Clifford equivalent graph states – allows us to classify all stabiliser states by their entanglement. Here, we study the structure of the orbits generated by local complementation, mapping them up to 9 qubits and revealing a rich hidden structure. We provide programs to compute these orbits, along with our data for each of the 587 orbits up to 9 qubits and a means to visualise them. We find direct links betwee
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Raza, Mohd Arif, Adel N. Alahmadi, Widyan Basaffar, et al. "The Quantum States of a Graph." Mathematics 11, no. 10 (2023): 2310. http://dx.doi.org/10.3390/math11102310.

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Quantum codes are crucial building blocks of quantum computers. With a self-dual quantum code is attached, canonically, a unique stabilised quantum state. Improving on a previous publication, we show how to determine the coefficients on the basis of kets in these states. Two important ingredients of the proof are algebraic graph theory and quadratic forms. The Arf invariant, in particular, plays a significant role.
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Gu, Xuemei, Manuel Erhard, Anton Zeilinger, and Mario Krenn. "Quantum experiments and graphs II: Quantum interference, computation, and state generation." Proceedings of the National Academy of Sciences 116, no. 10 (2019): 4147–55. http://dx.doi.org/10.1073/pnas.1815884116.

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We present an approach to describe state-of-the-art photonic quantum experiments using graph theory. There, the quantum states are given by the coherent superpositions of perfect matchings. The crucial observation is that introducing complex weights in graphs naturally leads to quantum interference. This viewpoint immediately leads to many interesting results, some of which we present here. First, we identify an experimental unexplored multiphoton interference phenomenon. Second, we find that computing the results of such experiments is #P-hard, which means it is a classically intractable prob
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Lovas, Attila, and Attila Andai. "Volume of the space of qubit-qubit channels and state transformations under random quantum channels." Reviews in Mathematical Physics 30, no. 10 (2018): 1850019. http://dx.doi.org/10.1142/s0129055x18500198.

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The simplest building blocks for quantum computations are the qubit-qubit quantum channels. In this paper, we analyze the structure of these channels via their Choi representation. The restriction of a quantum channel to the space of classical states (i.e. probability distributions) is called the underlying classical channel. The structure of quantum channels over a fixed classical channel is studied, the volume of the general and unital qubit channels with respect to the Lebesgue measure is computed and explicit formulas are presented for the distribution of the volume of quantum channels ove
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Ma, Hongling, Fei Li, Ningyi Mao, Yijun Wang, and Ying Guo. "Network-based Arbitrated Quantum Signature Scheme with Graph State." International Journal of Theoretical Physics 56, no. 8 (2017): 2551–61. http://dx.doi.org/10.1007/s10773-017-3410-y.

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Adhikari, Satyabrata, Indranil Chakrabarty, and Pankaj Agrawal. "Probabilistic secret sharing through noise quantum channe." Quantum Information and Computation 12, no. 3&4 (2012): 253–61. http://dx.doi.org/10.26421/qic12.3-4-5.

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In a realistic situation, the secret sharing of classical or quantum information will involve the transmission of this information through noisy channels. We consider a three qubit pure state. This state becomes a mixed-state when the qubits are distributed over noisy channels. We focus on a specific noisy channel, the phase-damping channel. We propose a protocol for secret sharing of classical information with this and related noisy channels. This protocol can also be thought of as cooperative superdense coding. We also discuss other noisy channels to examine the possibility of secret sharing
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Brown, John, Chris Godsil, Devlin Mallory, Abigail Raz, and Christino Tamon. "Perfect state transfer on signed graphs." Quantum Information and Computation 13, no. 5&6 (2013): 511–30. http://dx.doi.org/10.26421/qic13.5-6-10.

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We study perfect state transfer of quantum walks on signed graphs. Our aim is to show that negative edges are useful for perfect state transfer. First, we show that the signed join of a negative $2$-clique with any positive $(n,3)$-regular graph has perfect state transfer even if the unsigned join does not. Curiously, the perfect state transfer time improves as $n$ increases. Next, we prove that a signed complete graph has perfect state transfer if its positive subgraph is a regular graph with perfect state transfer and its negative subgraph is periodic. This shows that signing is useful for c
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40

Hayden, P., and C. King. "Correcting quantum channels by measuring the environment." Quantum Information and Computation 5, no. 2 (2005): 156–60. http://dx.doi.org/10.26421/qic5.2-6.

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We propose an entanglement tensor to quantitatively compute the entanglement of a general pure multipartite quantum state. We compare the ensuing tensor with the concurrence for bipartite state and apply the tensor measure to some interesting examples of entangled three-qubit and four-qubit states. It is shown that in defining the degree of entanglement of a multi-partite state, one needs to make assumptions about the willingness of the parties to cooperate. For such states our tensor becomes a measure of generalized entanglement of assistance. We also discuss the degree of entanglement and th
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41

Shapourian, Hassan, and Alireza Shabani. "Modular architectures to deterministically generate graph states." Quantum 7 (March 2, 2023): 935. http://dx.doi.org/10.22331/q-2023-03-02-935.

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Graph states are a family of stabilizer states which can be tailored towards various applications in photonic quantum computing and quantum communication. In this paper, we present a modular design based on quantum dot emitters coupled to a waveguide and optical fiber delay lines to deterministically generate N-dimensional cluster states and other useful graph states such as tree states and repeater states. Unlike previous proposals, our design requires no two-qubit gates on quantum dots and at most one optical switch, thereby, minimizing challenges usually posed by these requirements. Further
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Kurzyk, Dariusz, Łukasz Pawela, and Zbigniew Puchała. "Relating Entropies of Quantum Channels." Entropy 23, no. 8 (2021): 1028. http://dx.doi.org/10.3390/e23081028.

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In this work, we study two different approaches to defining the entropy of a quantum channel. One of these is based on the von Neumann entropy of the corresponding Choi–Jamiołkowski state. The second one is based on the relative entropy of the output of the extended channel relative to the output of the extended completely depolarizing channel. This entropy then needs to be optimized over all possible input states. Our results first show that the former entropy provides an upper bound on the latter. Next, we show that for unital qubit channels, this bound is saturated. Finally, we conjecture a
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JIMÉNEZ, OMAR, CARLOS MUÑOZ, ANDREI B. KLIMOV, and ALDO DELGADO. "SHARING OF D-DIMENSIONAL QUANTUM STATES." International Journal of Quantum Information 10, no. 02 (2012): 1250003. http://dx.doi.org/10.1142/s0219749912500037.

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We propose a scheme for the deterministic sharing arbitrary qudit states among three distant parties and characterize the set of ideal quantum channels. We also show that the use of non-ideal quantum channels for quantum state sharing can be related to the problem of quantum state discrimination. This allows us to formulate a protocol which leads to perfect quantum state sharing with a finite success probability.
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44

Wierciński, Tomasz, Mateusz Rock, Robert Zwierzycki, Teresa Zawadzka, and Michał Zawadzki. "Emotion Recognition from Physiological Channels Using Graph Neural Network." Sensors 22, no. 8 (2022): 2980. http://dx.doi.org/10.3390/s22082980.

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In recent years, a number of new research papers have emerged on the application of neural networks in affective computing. One of the newest trends observed is the utilization of graph neural networks (GNNs) to recognize emotions. The study presented in the paper follows this trend. Within the work, GraphSleepNet (a GNN for classifying the stages of sleep) was adjusted for emotion recognition and validated for this purpose. The key assumption of the validation was to analyze its correctness for the Circumplex model to further analyze the solution for emotion recognition in the Ekman modal. Th
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45

CHAMOLI, ARTI, and C. M. BHANDARI. "TELEPORTATION OF UNKNOWN STATE BY QUTRITS." International Journal of Quantum Information 06, no. 02 (2008): 369–78. http://dx.doi.org/10.1142/s0219749908003402.

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Quantum entanglement, like other resources, is now considered to be a resource. It can be produced, concentrated if required, swapped, transported and consumed. During recent years, various schemes of quantum state teleportation have been proposed using different types of quantum channels. Not restricting to qubit based systems, qutrit states and channels have also been of considerable interest. In the present paper, we investigate the teleportation of an unknown single qutrit state, as well as a two qutrit state through a three qutrit quantum channel, along with the required operations to rec
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46

Vempati, Mahathi, Saumya Shah, Nirman Ganguly, and Indranil Chakrabarty. "A-unital Operations and Quantum Conditional Entropy." Quantum 6 (February 2, 2022): 641. http://dx.doi.org/10.22331/q-2022-02-02-641.

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Negative quantum conditional entropy states are key ingredients for information theoretic tasks such as superdense coding, state merging and one-way entanglement distillation. In this work, we ask: how does one detect if a channel is useful in preparing negative conditional entropy states? We answer this question by introducing the class of A-unital channels, which we show are the largest class of conditional entropy non-decreasing channels. We also prove that A-unital channels are precisely the completely free operations for the class of states with non-negative conditional entropy. Furthermo
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47

Idel, Martin, and Robert Konig. "On quantum additive Gaussian noise channels." Quantum Information and Computation 17, no. 3&4 (2017): 283–302. http://dx.doi.org/10.26421/qic17.3-4-6.

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We give necessary and sufficient conditions for a Gaussian quantum channel to have a dilation involving a passive, i.e., number-preserving unitary. We then establish a normal form of such channels: any passively dilatable channel is the result of applying passive unitaries to the input and output of a Gaussian additive channel. The latter combine the state of the system with that of the environment by means of a multi-mode beamsplitter.
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48

ROGA, WOJCIECH, KAROL ŻYCZKOWSKI, and MARK FANNES. "ENTROPIC CHARACTERIZATION OF QUANTUM OPERATIONS." International Journal of Quantum Information 09, no. 04 (2011): 1031–45. http://dx.doi.org/10.1142/s0219749911007794.

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We investigate decoherence induced by a quantum channel in terms of minimal output entropy and map entropy. The latter is the von Neumann entropy of the Jamiołkowski state of the channel. Both quantities admit q-Renyi versions. We prove additivity of the map entropy for all q. For the case q = 2, we show that the depolarizing channel has the smallest map entropy among all channels with a given minimal output Renyi entropy of order two. This allows us to characterize pairs of channels such that the output entropy of their tensor product acting on a maximally entangled input state is larger than
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49

Jung, Eylee, Mi-Ra Hwang, DaeKil Park, Jin-Woo Son, and Sayatnova Tamaryan. "Mixed-state entanglement and quantum teleportation through noisy channels." Journal of Physics A: Mathematical and Theoretical 41, no. 38 (2008): 385302. http://dx.doi.org/10.1088/1751-8113/41/38/385302.

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50

Jiang, Min, and Daoyi Dong. "Multi-party quantum state sharing via various probabilistic channels." Quantum Information Processing 12, no. 1 (2012): 237–49. http://dx.doi.org/10.1007/s11128-012-0364-0.

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