Quantum channels

Structure, Optimality, and Symmetry in Shadow Unitary Inversion
Reversing unknown quantum dynamics is vital for quantum control and learning, yet full unitary inversion requires a resource-intensive …
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Structure, Optimality, and Symmetry in Shadow Unitary Inversion
Simulation of Adjoints and Petz Recovery Maps for Unknown Quantum Channels
Transformations of quantum channels, such as the transpose, complex conjugate, and adjoint, are fundamental to quantum information …
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Simulation of Adjoints and Petz Recovery Maps for Unknown Quantum Channels
Efficient implementation of arbitrary Hermitian-preserving and trace-preserving maps
Quantum control has been a cornerstone of quantum information science, driving major advances in quantum computing, quantum …
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Efficient implementation of arbitrary Hermitian-preserving and trace-preserving maps
Virtual Quantum Markov Chains
Quantum Markov chains generalize classical Markov chains for random variables to the quantum realm and exhibit unique inherent …
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Virtual Quantum Markov Chains
Predicting symmetries of quantum dynamics with optimal samples
Identifying symmetries in quantum dynamics, such as identity or time-reversal invariance, is a crucial challenge with profound …
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Predicting symmetries of quantum dynamics with optimal samples
Shadow Simulation of Quantum Processes
We introduce the task of shadow process simulation, where the goal is to simulate the estimation of the expectation values of arbitrary …
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Shadow Simulation of Quantum Processes
Optimal unilocal virtual quantum broadcasting
Quantum broadcasting is central to quantum information processing and characterizes the correlations within quantum states. …
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Optimal unilocal virtual quantum broadcasting
Reversing Unknown Quantum Processes via Virtual Combs for Channels with Limited Information
The inherent irreversibility of quantum dynamics for open systems poses a significant barrier to the inversion of unknown quantum …
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Reversing Unknown Quantum Processes via Virtual Combs for Channels with Limited Information
Mitigating Quantum Errors via Truncated Neumann Series
Quantum gates and measurements on quantum hardware are inevitably subject to hardware imperfections that lead to quantum errors. …
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Mitigating Quantum Errors via Truncated Neumann Series
Efficient information recovery from Pauli noise via classical shadow
The rapid advancement of quantum computing has led to an extensive demand for effective techniques to extract classical information …
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Efficient information recovery from Pauli noise via classical shadow