Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments
arXiv:2302.04797 · doi:10.1103/PhysRevA.109.012404
Abstract
Detection of entanglement through partial knowledge of the quantum state is a challenge to implement efficiently. Here we propose a separability criterion for detecting bipartite entanglement in arbitrary dimensional quantum states using partial moments of the realigned density matrix. Our approach enables detection of both distillable and bound entangled states through a common framework. We illustrate the efficiency of our method through examples of states belonging to both the above categories, which are not detectable using comparable other schemes relying on partial state information. The formalism of employing partial realigned moments proposed here is further shown to be effective for two-qubit systems too, with a slight modification of our separability criterion.
arXiv comment11 pages, 3 figures
References in corpus (45)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Separability Criterion for Density Matrices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Entanglement of a Pair of Quantum Bits
- Entanglement detection
- Separability criterion and inseparable mixed states with positive partial transposition
- Bell Inequalities and the Separability Criterion
- Optimization of entanglement witnesses
- Universal Quantum Estimator
- Direct estimations of linear and non-linear functionals of a quantum state
- Bound entanglement can be activated
- Self-testing of quantum systems: a review
- Further results on the cross norm criterion for separability
- Concurrence of arbitrary dimensional bipartite quantum states
- Mixed-state entanglement from local randomized measurements
- Testing the Hilbert space dimension
- Direct detection of quantum entanglement
- Some Properties of the Computable Cross Norm Criterion for Separability
- Estimating the spectrum of a density operator
- Experimental detection of entanglement via witness operators and local measurements
- Experimental estimation of the dimension of classical and quantum systems
- Machine Learning Assisted Many-Body Entanglement Measurement
- Optimal Entanglement Certification from Moments of the Partial Transpose
- Quantum states with a positive partial transpose are useful for metrology
- Noiseless Quantum Circuits for the Peres Separability Criterion
- Binegativity and geometry of entangled states in two qubits
- Detecting entanglement in quantum many-body systems via permutation moments
- A Note on Fully Entangled Fraction
- Method for universal detection of two-photon polarization entanglement
- One-sided Device-independent Self-testing of any Pure Two-qubit Entangled State
- Entanglement for a two-parameter class of states in quantum system
- Novel Schemes for Directly Measuring Entanglement of General States
- Statistically significant tests of multiparticle quantum correlations based on randomized measurements
- Experimental demonstration of one-sided device-independent self-testing of any pure two-qubit entangled state
- Universal detection of entanglement in two-qubit states using only two copies
- Operational Entanglement Detection Based on -Moments
- Improved lower and upper bounds for entanglement of formation
- Quantum separability criteria based on realignment moments
- A note on the realignment criterion
- Teleportation criteria based on maximum eigenvalue of the shared dimenional mixed state: Beyond Singlet Fraction
- Physical realization of realignment criteria using structural physical approximation
- A characterization of entangled two-qubit states via partial-transpose-moments
- Necessary and sufficient product criteria for quantum states via the rank of realignment matrix of density matrix
- Search for an efficient entanglement witness operator for bound entangled states in bipartite quantum systems
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- Construction of PPT entangled state and its detection by using second-order moment of the partial transposition
- Entanglement certification from moments of positive maps
- On the characterization of partially entanglement breaking and annihilating channels
- Detection of nonabsolute separability in quantum states and channels through moments