The Triangle Criterion detects mixed-state magic, proves multi-qubit distillation is strictly stronger than single-qubit schemes, and identifies a purity bound plus undetectable unfaithful magic states.
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Peres, Separability criterion for density matrices, Phys
12 Pith papers cite this work. Polarity classification is still indexing.
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representative citing papers
Bell-state phase of entangled photons partitions biexciton excitations between bright and exchange-dark eigenstates in WSe2 via independent valley pathways, with >0.97 visibility at 4 K.
Reset-induced entanglement phase transitions in measurement-free random quantum circuits are continuous for d=2 with second-order characteristics, unlike large-d classical expectations.
Stochastic resetting generates finite pairwise entanglement in periodically driven spin chains, with critical resetting rate r_c and optimal rate r_m showing non-monotonic dependence on drive frequency ω_D.
An optimized pair-hopping term derived via third-order Schrieffer-Wolff transformation suppresses doublon transport through destructive interference, producing near-complete dynamical arrest in 1D and prethermal density-wave order in the many-body regime.
A multipartite pure state is 2-producible if and only if all generalized entanglement of purification gaps vanish.
A method is given to compute the minimum energy of certain spin Hamiltonians over separable states, expressed via quantum Fisher information for Ising models and fidelity for Heisenberg chains.
Symmetric random induced states yield PPT bound entanglement with probability close to 1 for N>3 qubits via two partial tracing constructions.
Time evolution of genuine multipartite negativity in the open Kitaev quantum spin liquid shows persistence in loopy subregions in Markovian regime and at higher temperatures in non-Markovian regime.
A quantum channel A is physically harder to implement than channel B if A's output statistics allow unique identification of the input state from B's output via some measurement, which is equivalent to obtaining A from B by post-composition with an HPTP map.
citing papers explorer
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Triangle Criterion: a mixed-state magic criterion with applications in distillation and detection
The Triangle Criterion detects mixed-state magic, proves multi-qubit distillation is strictly stronger than single-qubit schemes, and identifies a purity bound plus undetectable unfaithful magic states.
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Eigenstate-Selective Entangled Two-Photon Absorption in Monolayer WSe$_2$
Bell-state phase of entangled photons partitions biexciton excitations between bright and exchange-dark eigenstates in WSe2 via independent valley pathways, with >0.97 visibility at 4 K.
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Continuous Reset-Induced Phase Transition in Measurement-Free Random Quantum Circuits
Reset-induced entanglement phase transitions in measurement-free random quantum circuits are continuous for d=2 with second-order characteristics, unlike large-d classical expectations.
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Generating pairwise entanglement in periodically driven quantum spin chains with stochastic resetting
Stochastic resetting generates finite pairwise entanglement in periodically driven spin chains, with critical resetting rate r_c and optimal rate r_m showing non-monotonic dependence on drive frequency ω_D.
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Interference-Induced Suppression of Doublon Transport and Prethermalization in the Extended Bose-Hubbard Model
An optimized pair-hopping term derived via third-order Schrieffer-Wolff transformation suppresses doublon transport through destructive interference, producing near-complete dynamical arrest in 1D and prethermal density-wave order in the many-body regime.
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Generalized Entanglement of Purification Criteria for 2-Producible States in Multipartite Systems
A multipartite pure state is 2-producible if and only if all generalized entanglement of purification gaps vanish.
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General method for obtaining the energy minimum of spin Hamiltonians for separable states
A method is given to compute the minimum energy of certain spin Hamiltonians over separable states, expressed via quantum Fisher information for Ising models and fidelity for Heisenberg chains.
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Bound entanglement in symmetric random induced states
Symmetric random induced states yield PPT bound entanglement with probability close to 1 for N>3 qubits via two partial tracing constructions.
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Fate of entanglement in open quantum spin liquid: Time evolution of its genuine multipartite negativity upon sudden coupling to a dissipative bosonic environment
Time evolution of genuine multipartite negativity in the open Kitaev quantum spin liquid shows persistence in loopy subregions in Markovian regime and at higher temperatures in non-Markovian regime.
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Comparing quantum channels using Hermitian-preserving trace-preserving linear maps: A physically meaningful approach
A quantum channel A is physically harder to implement than channel B if A's output statistics allow unique identification of the input state from B's output via some measurement, which is equivalent to obtaining A from B by post-composition with an HPTP map.