Quantum channels

Almost One Bit Violation of Minimum-Output Rényi Entropy Additivity Simultaneously at All Orders

We prove that minimum-output Rényi-entropy additivity can fail by almost one bit simultaneously at every nonnegative order. For every …

PDF Cite DOI
Almost One Bit Violation of Minimum-Output Rényi Entropy Additivity Simultaneously at All Orders
Deterministic Minimum-Output-Entropy Nonadditivity via Haagerup's Inequality and Near-Free Permutation Representations

We give a deterministic realization of the finite-dimensional quadratic certificate underlying Collins’s mixed-unitary proof of …

PDF Cite DOI
Deterministic Minimum-Output-Entropy Nonadditivity via Haagerup's Inequality and Near-Free Permutation Representations
Quantum incapacity from observable shadows
Quantum communication is ruled out when an eavesdropper can reconstruct the receiver’s state. Yet states are operationally …
PDF Cite DOI
Quantum incapacity from observable shadows
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 …
PDF Cite Code DOI
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 …
PDF Cite DOI
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 …
PDF Cite DOI
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 …
PDF Cite DOI
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 …
PDF Cite DOI
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 …
PDF Cite DOI
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. …
PDF Cite DOI
Optimal unilocal virtual quantum broadcasting