Relevant bibliographies by topics / Random unitary circuits

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  1. Journal articles
  2. Dissertations / Theses
  3. Conference papers

Academic literature on the topic 'Random unitary circuits'

Author: Grafiati
Published: 16 November 2024

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Journal articles on the topic "Random unitary circuits"

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NAKATA, YOSHIFUMI, and MIO MURAO. "DIAGONAL-UNITARY 2-DESIGN AND THEIR IMPLEMENTATIONS BY QUANTUM CIRCUITS." International Journal of Quantum Information 11, no. 07 (2013): 1350062. http://dx.doi.org/10.1142/s0219749913500627.

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We study efficient generations of random diagonal-unitary matrices, an ensemble of unitary matrices diagonal in a given basis with randomly distributed phases for their eigenvalues. Despite the simple algebraic structure, they cannot be achieved by quantum circuits composed of a few-qubit diagonal gates. We introduce diagonal-unitaryt-designs and present two quantum circuits that implement diagonal-unitary 2-design with the computational basis in N-qubit systems. One is composed of single-qubit diagonal gates and controlled-phase gates with randomized phases, which achieves an exact diagonal-u
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Rampp, Michael A., and Pieter W. Claeys. "Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamics." Quantum 8 (August 8, 2024): 1434. http://dx.doi.org/10.22331/q-2024-08-08-1434.

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The Hayden-Preskill protocol probes the capability of information recovery from local subsystems after unitary dynamics. As such it resolves the capability of quantum many-body systems to dynamically implement a quantum error-correcting code. The transition to coding behavior has been mostly discussed using effective approaches, such as entanglement membrane theory. Here, we present exact results on the use of Hayden-Preskill recovery as a dynamical probe of scrambling in local quantum many-body systems. We investigate certain classes of unitary circuit models, both structured Floquet (dual-un
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Claeys, Pieter W., and Austen Lamacraft. "Emergent quantum state designs and biunitarity in dual-unitary circuit dynamics." Quantum 6 (June 15, 2022): 738. http://dx.doi.org/10.22331/q-2022-06-15-738.

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Recent works have investigated the emergence of a new kind of random matrix behaviour in unitary dynamics following a quantum quench. Starting from a time-evolved state, an ensemble of pure states supported on a small subsystem can be generated by performing projective measurements on the remainder of the system, leading to a projected ensemble. In chaotic quantum systems it was conjectured that such projected ensembles become indistinguishable from the uniform Haar-random ensemble and lead to a quantum state design. Exact results were recently presented by Ho and Choi [Phys. Rev. Lett. 128, 0
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Turkeshi, Xhek, and Piotr Sierant. "Hilbert Space Delocalization under Random Unitary Circuits." Entropy 26, no. 6 (2024): 471. http://dx.doi.org/10.3390/e26060471.

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The unitary dynamics of a quantum system initialized in a selected basis state yield, generically, a state that is a superposition of all the basis states. This process, associated with the quantum information scrambling and intimately tied to the resource theory of coherence, may be viewed as a gradual delocalization of the system’s state in the Hilbert space. This work analyzes the Hilbert space delocalization under the dynamics of random quantum circuits, which serve as a minimal model of the chaotic dynamics of quantum many-body systems. We employ analytical methods based on the replica tr
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Haferkamp, Jonas. "Random quantum circuits are approximate unitary t-designs in depth O(nt5+o(1))." Quantum 6 (September 8, 2022): 795. http://dx.doi.org/10.22331/q-2022-09-08-795.

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The applications of random quantum circuits range from quantum computing and quantum many-body systems to the physics of black holes. Many of these applications are related to the generation of quantum pseudorandomness: Random quantum circuits are known to approximate unitary t-designs. Unitary t-designs are probability distributions that mimic Haar randomness up to tth moments. In a seminal paper, Brandão, Harrow and Horodecki prove that random quantum circuits on qubits in a brickwork architecture of depth O(nt10.5) are approximate unitary t-designs. In this work, we revisit this argument, w
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Oszmaniec, Michal, Adam Sawicki, and Michal Horodecki. "Epsilon-Nets, Unitary Designs, and Random Quantum Circuits." IEEE Transactions on Information Theory 68, no. 2 (2022): 989–1015. http://dx.doi.org/10.1109/tit.2021.3128110.

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Zhang, Qi, and Guang-Ming Zhang. "Noise-Induced Entanglement Transition in One-Dimensional Random Quantum Circuits." Chinese Physics Letters 39, no. 5 (2022): 050302. http://dx.doi.org/10.1088/0256-307x/39/5/050302.

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A random quantum circuit is a minimally structured model to study entanglement dynamics of many-body quantum systems. We consider a one-dimensional quantum circuit with noisy Haar-random unitary gates using density matrix operator and tensor contraction methods. It is shown that the entanglement evolution of the random quantum circuits is properly characterized by the logarithmic entanglement negativity. By performing exact numerical calculations, we find that, as the physical error rate is decreased below a critical value p c ≈ 0.056, the logarithmic entanglement negativity changes from the a
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Bertini, Bruno, Pavel Kos, and Tomaž Prosen. "Random Matrix Spectral Form Factor of Dual-Unitary Quantum Circuits." Communications in Mathematical Physics 387, no. 1 (2021): 597–620. http://dx.doi.org/10.1007/s00220-021-04139-2.

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Hangleiter, Dominik, Juan Bermejo-Vega, Martin Schwarz, and Jens Eisert. "Anticoncentration theorems for schemes showing a quantum speedup." Quantum 2 (May 22, 2018): 65. http://dx.doi.org/10.22331/q-2018-05-22-65.

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One of the main milestones in quantum information science is to realise quantum devices that exhibit an exponential computational advantage over classical ones without being universal quantum computers, a state of affairs dubbed quantum speedup, or sometimes "quantum computational supremacy". The known schemes heavily rely on mathematical assumptions that are plausible but unproven, prominently results on anticoncentration of random prescriptions. In this work, we aim at closing the gap by proving two anticoncentration theorems and accompanying hardness results, one for circuit-based schemes,
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Cleve, Richard, Debbie Leung, Li Liu, and Chunhao Wang. "Near-linear constructions of exact unitary 2-designs." Quantum Information and Computation 16, no. 9&10 (2016): 721–56. http://dx.doi.org/10.26421/qic16.9-10-1.

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A unitary 2-design can be viewed as a quantum analogue of a 2-universal hash function: it is indistinguishable from a truly random unitary by any procedure that queries it twice. We show that exact unitary 2-designs on n qubits can be implemented by quantum circuits consisting of Oe(n) elementary gates in logarithmic depth. This is essentially a quadratic improvement in size (and in width times depth) over all previous implementations that are exact or approximate (for sufficiently strong approximations).
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Dissertations / Theses on the topic "Random unitary circuits"

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Christopoulos, Alexios. "Émergence du chaos dans la dynamique des systèmes à plusieurs corps classiques et quantiques." Electronic Thesis or Diss., CY Cergy Paris Université, 2024. http://www.theses.fr/2024CYUN1305.

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S.Cette thèse étudie l'émergence du chaos dans la dynamique des systèmes à plusieurs corps, tant classiques que quantiques, à travers trois études interconnectées, aboutissant à plusieurs résultats novateurs. La recherche explore initialement les corrélations dans les circuits symplectiques duaux, fournissant une analyse approfondie des flux hamiltoniens et des systèmes symplectiques. Une contribution significative est l'introduction du modèle Ising-Swap au sein des circuits symplectiques classiques duaux, qui révèle des corrélations dynamiques en utilisant des portes symplectiques et duaux-sy
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Conference papers on the topic "Random unitary circuits"

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Kurozawa, Kazuki, and Takayuki Nakachi. "Secure Sparse Modeling Through Linearized Kernel Dictionary Learning with Random Unitary Transformation." In 2024 International Technical Conference on Circuits/Systems, Computers, and Communications (ITC-CSCC). IEEE, 2024. http://dx.doi.org/10.1109/itc-cscc62988.2024.10628422.

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Hayat, Majeed M., Bahaa E. A. Saleh, and Malvin C. Teich. "Effect of dead space on gain and noise double-carrier-multiplication avalanche photodiodes." In OSA Annual Meeting. Optica Publishing Group, 1991. http://dx.doi.org/10.1364/oam.1991.fu2.

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The effect of dead space on the mean gain and the excess noise factor of double-carrier multiplication avalanche photodiodes has been studied using recurrence relations in the form of coupled integral equations. The dead space is the minimum distance that a newly generated carrier must travel to acquire sufficient energy to become capable of causing an impact ionization. These equations are solved numerically to produce the mean gain and the excess noise factor. We have found that dead space reduces the mean gain since it results in fewer ionizations. The reduction is relatively greater as the
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