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Implementing quantum error correction (QEC) protocols is a challenging task in today's era of noisy intermediate-scale quantum devices.
Approximate quantum error correction can lead to better codes
Debbie W. Leung, M. A. Nielsen, Isaac L. Chuang, and Yoshihisa Yamamoto · 1997
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2000
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Reversing quantum dynamics with near-optimal quantum and classical fidelity
Howard Barnum and Emanuel Knill · 2002
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Monotonicity of quantum relative entropy revisited
Dénes Petz · 2003
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Nonunitary quantum circuit
Hiroaki Terashima and Masahito Ueda · 2005
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Channel-adapted quantum error correction for the amplitude damping channel
Andrew S Fletcher, Peter W Shor, and Moe Z Win · 2008
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Binary search trees for generalized measurements
Erika Andersson and Daniel K. L. Oi · 2008
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Decoherence in solid-state qubits
Luca Chirolli and Guido Burkard · 2008
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Simple approach to approximate quantum error correction based on the transpose channel
Hui Khoon Ng and Prabha Mandayam · 2010
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From Classical to Quantum Shannon Theory
Mark M. Wilde · 2011
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Prabha Mandayam and Hui Khoon Ng · 2012
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Low-distance surface codes under realistic quantum noise
Yu Tomita and Krysta M. Svore · 2014
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Exponential improvement in precision for simulating sparse hamiltonians
Dominic W Berry, Andrew M Childs, Richard Cleve, Robin Kothari, and Rolando D Somma · 2014
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Barbara M. Terhal · 2015
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Efficient Quantum Algorithms for Simulating Lindblad Evolution
Richard Cleve and Chunhao Wang · 2016
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Quantum channel construction with circuit quantum electrodynamics
Chao Shen, Kyungjoo Noh, Victor V. Albert, Stefan Krastanov, M. H. Devoret, R. J. Schoelkopf, S. M. Girvin, and Liang Jiang · 2017
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Quantum Computing in the NISQ era and beyond
Entanglement wedge reconstruction using the petz map
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Variational quantum fidelity estimation
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Achieving fault tolerance against amplitude-damping noise
Akshaya Jayashankar, My Duy Hoang Long, Hui Khoon Ng, and Prabha Mandayam · 2022
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Quantum algorithm for petz recovery channels and pretty good measurements
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John Preskill · 2018
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Marius Junge, Renato Renner, David Sutter, Mark M Wilde, and Andreas Winter · 2018
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András Gilyén, Yuan Su, Guang Hao Low, and Nathan Wiebe · 2019
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Guang Hao Low and Isaac L Chuang · 2019
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A two-level unitary is one that acts nontrivially only on a two-dimensional subspace of the d d -dimensional space. We refer to [ 8 ] for further details
Cited in the paper.
András Gilyén, Seth Lloyd, Iman Marvian, Yihui Quek, and Mark M. Wilde · 2022
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Improved Quantum Algorithms for Fidelity Estimation
András Gilyén and Alexander Poremba · 2022
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Adaptive codes: constructions, applications and fault tolerance
Akshaya Jayashankar · 2022
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Reversing lindblad dynamics via continuous petz recovery map
Hyukjoon Kwon, Rick Mukherjee, and M. S. Kim · 2022
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Lecture Notes on Quantum Algorithms for Scientific Computation
Lin Lin · 2022
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Quantum algorithm for fidelity estimation
Qisheng Wang, Zhicheng Zhang, Kean Chen, Ji Guan, Wang Fang, Junyi Liu, and Mingsheng Ying · 2023
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