Quantum thermodynamics with uncertain equilibrium leads to a no-go theorem on athermality purification and strong irreversibility in battery models, with work extraction and formation characterized by min- and max-relative entropies and new subspace-constrained variants.
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A machine that purifies two quantum inputs of different rank with positive probability cannot be a linear positive map, ruling out universal probabilistic purification from finite copies; approximate strategies exhibit a dimension-dependent trade-off between pure-output and append-environment maps.
Presents a poly-complexity quantum circuit implementing the random dilation superchannel for parallel channel queries, with approximate sequential extension, a no-go theorem for exact sequential dilation, and an application to exponentially improved channel storage-retrieval.
A general framework for universal quantum state purification under energy-conservation constraints, including necessary and sufficient conditions for nonexistence and optimal protocols for depolarizing noise.
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Quantum thermodynamics with uncertain equilibrium
Quantum thermodynamics with uncertain equilibrium leads to a no-go theorem on athermality purification and strong irreversibility in battery models, with work extraction and formation characterized by min- and max-relative entropies and new subspace-constrained variants.
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Probabilistic and approximate universal quantum purification machines
A machine that purifies two quantum inputs of different rank with positive probability cannot be a linear positive map, ruling out universal probabilistic purification from finite copies; approximate strategies exhibit a dimension-dependent trade-off between pure-output and append-environment maps.
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Random dilation superchannel
Presents a poly-complexity quantum circuit implementing the random dilation superchannel for parallel channel queries, with approximate sequential extension, a no-go theorem for exact sequential dilation, and an application to exponentially improved channel storage-retrieval.
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Universal quantum state purification with energy-preserving operations
A general framework for universal quantum state purification under energy-conservation constraints, including necessary and sufficient conditions for nonexistence and optimal protocols for depolarizing noise.