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Quantum process inversion
Algebraic Speedups for Exact Inversion of Hamiltonian Evolutions
Deterministic exact inversion of an arbitrary d-dimensional unitary requires $\Theta(d^2)$ coherent forward calls in the worst case. We …
Jizhe Lai
,
Mingrui Jing
,
Erdong Huang
,
Xin Wang
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DOI
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 …
Guocheng Zhen
,
Yu-Ao Chen
,
Mingrui Jing
,
Jingu Xie
,
Xin Wang
,
Ranyiliu Chen
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DOI
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 …
Chengkai Zhu
,
Ziao Tang
,
Guocheng Zhen
,
Yinan Li
,
Ge Bai
,
Xin Wang
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DOI
Efficient Inversion of Unknown Unitary Operations with Structured Hamiltonians
Unknown unitary inversion is a fundamental primitive in quantum computing and physics. Although recent work has demonstrated that …
Yin Mo
,
Tengxiang Lin
,
Xin Wang
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Code
DOI
Parameterized quantum comb and simpler circuits for reversing unknown qubit-unitary operations
Quantum combs play a vital role in characterizing and transforming quantum processes, with wide-ranging applications in quantum …
Yin Mo
,
Lei Zhang
,
Yu-Ao Chen
,
Yingjian Liu
,
Tengxiang Lin
,
Xin Wang
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Code
DOI
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 …
Chengkai Zhu
,
Yin Mo
,
Yu-Ao Chen
,
Xin Wang
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DOI
Quantum Algorithm in Reversing Unknown Unitary Evolutions
Reversing an unknown quantum evolution is of central importance to quantum information processing and fundamental physics, yet it …
Yu-Ao Chen
,
Yin Mo
,
Yingjian Liu
,
Lei Zhang
,
Xin Wang
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DOI
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