Every rank-two bipartite entangled state is projectively steerable in at least one direction, and two-way steerable when local dimensions match.
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Peres, Separability criterion for density matrices, Phys
17 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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representative citing papers
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.
Derives improved lower bounds for concurrence via symmetric measurements, resolves an inequality conjecture showing prior symmetric-measurement results are stronger than realignment-based ones, and gives a bound for genuine tripartite entanglement concurrence.
Defines witness E_NG whose ceiling lower-bounds the Gaussian-irreducible Schmidt number, creating an operational hierarchy for non-Gaussian entanglement in continuous-variable systems.
A differentiable SDP method generates positive non-decomposable maps, identifies parametrized families, and explores open problems like the PPT square conjecture.
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.
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.
Any three PT moments of orders k<l<m certify NPT entanglement if p_l > p_k^x p_m^{1-x}, and Stieltjes-m equals PPT when ρ^Γ has at most (m+1)/2 distinct eigenvalues.
A (2,m)-threshold quantum data-hiding scheme is constructed where any pair of m parties can perfectly recover a hidden bit via joint measurement, while LOCC by all parties reveals arbitrarily little information.
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.
Stochastic resetting produces finite pairwise concurrence in the steady state of periodically driven XY and Rydberg spin chains, with a critical rate below which it vanishes and an optimal rate at which it peaks.
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.
Polarization-dependent Compton scattering verifies the Bell state of para-positronium annihilation photons using two-photon density matrices.
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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Every Rank-Two Entangled State is Projectively Steerable
Every rank-two bipartite entangled state is projectively steerable in at least one direction, and two-way steerable when local dimensions match.
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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.
-
Estimating the concurrence for quantum states via symmetric measurements
Derives improved lower bounds for concurrence via symmetric measurements, resolves an inequality conjecture showing prior symmetric-measurement results are stronger than realignment-based ones, and gives a bound for genuine tripartite entanglement concurrence.
-
Non-Gaussian Entanglement Hierarchy Based on the Schmidt Number
Defines witness E_NG whose ceiling lower-bounds the Gaussian-irreducible Schmidt number, creating an operational hierarchy for non-Gaussian entanglement in continuous-variable systems.
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Generating Non-Decomposable Maps with Differentiable Semidefinite Programming
A differentiable SDP method generates positive non-decomposable maps, identifies parametrized families, and explores open problems like the PPT square conjecture.
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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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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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Detecting entanglement from few partial transpose moments and their decay via weight enumerators
Any three PT moments of orders k<l<m certify NPT entanglement if p_l > p_k^x p_m^{1-x}, and Stieltjes-m equals PPT when ρ^Γ has at most (m+1)/2 distinct eigenvalues.
-
(2,m)-threshold quantum data hiding
A (2,m)-threshold quantum data-hiding scheme is constructed where any pair of m parties can perfectly recover a hidden bit via joint measurement, while LOCC by all parties reveals arbitrarily little information.
-
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.
-
Generating pairwise entanglement in periodically driven quantum spin chains with stochastic resetting
Stochastic resetting produces finite pairwise concurrence in the steady state of periodically driven XY and Rydberg spin chains, with a critical rate below which it vanishes and an optimal rate at which it peaks.
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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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Entangled photons from para-positronium decay: Do coincidences from scattered photons imply a Bell state?
Polarization-dependent Compton scattering verifies the Bell state of para-positronium annihilation photons using two-photon density matrices.
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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.