Quantum nonlocality is possible in the triangle network with no inputs and binary outputs, which is the smallest such scenario by number of variables and outcomes.
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A Yoneda lemma for categorical supermaps gives a concrete representation via channel-state duality whenever the theory has it, yielding stable definitions for boxworld and real quantum theory.
Higher-order quantum map types form a distributive lattice of regular subtypes where signalling relations are determined by type function evaluations and structure poset rank parity, with normal forms derived from maximal chains.
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.
Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).
Causal reference frame and time-delocalized subsystem descriptions of pure processes are coordinate parametrizations of a single neutral object, with unitary perspective transformations possible by reshuffling time order or adding reference-frame subsystems.
Derives analytic expressions for randomized benchmarking under temporally correlated non-Markovian noise, identifies cases where correlations are invisible to RB, and shows they can affect diamond norm errors.
A new framework establishes a trade-off between energy cost and complexity in quantum phase estimation, locating a sweet spot for co-optimization at desired precision.
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.
citing papers explorer
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The minimal example of quantum network Bell nonlocality
Quantum nonlocality is possible in the triangle network with no inputs and binary outputs, which is the smallest such scenario by number of variables and outcomes.
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Supermaps on generalised theories
A Yoneda lemma for categorical supermaps gives a concrete representation via channel-state duality whenever the theory has it, yielding stable definitions for boxworld and real quantum theory.
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Order structure and signalling in higher order quantum maps
Higher-order quantum map types form a distributive lattice of regular subtypes where signalling relations are determined by type function evaluations and structure poset rank parity, with normal forms derived from maximal chains.
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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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Quantum Advantage in Storage and Retrieval of Isometry Channels
Quantum strategy stores isometry channels with n = Θ(1/√ε) queries for error ε, quadratic improvement over classical n = Θ(ε^{-1}).
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Frame perspectives for process matrices: from coordinate parametrization to spacetime representation
Causal reference frame and time-delocalized subsystem descriptions of pure processes are coordinate parametrizations of a single neutral object, with unitary perspective transformations possible by reshuffling time order or adding reference-frame subsystems.
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Blind-spots of Randomized Benchmarking Under Temporal Correlations
Derives analytic expressions for randomized benchmarking under temporally correlated non-Markovian noise, identifies cases where correlations are invisible to RB, and shows they can affect diamond norm errors.
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Trade-off between complexity and energy in quantum phase estimation
A new framework establishes a trade-off between energy cost and complexity in quantum phase estimation, locating a sweet spot for co-optimization at desired precision.
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Verifying Quantum Memory in the Dynamics of Spin Boson Models
Local quantum memory criteria applied via matrix product operator methods show that single-intervention process tensors generally predict quantum memory at low temperatures in spin-boson models, while dynamical maps detect it for resonant environments at short times.