Teleportation criteria based on maximum eigenvalue of the shared $d\otimes d$ dimenional mixed state: Beyond Singlet Fraction

Abstract

We derive a criteria for the detection of $d\otimes d$ dimensional negative partial transpose (NPT) entangled state useful for teleportation. The newly derived criteria are based on the maximum eigenvalue of the NPT entangled state, which is easier to determine experimentally than to completely reconstruct the state via tomography. We then illustrate our criteria by considering a class of qubit-qubit system and qutrit-qutrit system.

arXiv comment8 pages, 2 figures Accepted in International Journal of Theoretical Physics, January 2021

References in corpus (27)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Quantum Teleportation is a Universal Computational Primitive
• Universal Quantum Estimator
• Direct estimations of linear and non-linear functionals of a quantum state
• Bound entanglement can be activated
• Entangled Rings
• Maximizing the entanglement of two mixed qubits
• Teleportation as a Depolarizing Quantum Channel, Relative Entropy and Classical Capacity
• Maximally entangled mixed states of two qubits
• Maximally entangled mixed states in two qubits
• Local environment can enhance fidelity of quantum teleportation
• Quantum fidelity measures for mixed states
• Estimating the spectrum of a density operator
• Asymptotic teleportation scheme as a universal programmable quantum processor
• Optimal teleportation with a mixed state of two qubits
• Optimal Teleportation Based on Bell Measurement
• Realizing Physical Approximation of the Partial Transpose
• On the entanglement structure in quantum cloning
• Determining eigenvalues of a density matrix with minimal information in a single experimental setting
• Designing Quantum Information Processing via Structural Physical Approximation
• On Estimation of Fully Entangled Fraction
• Optimal entanglement witnesses from limited local measurements
• Faithful teleportation with arbitrary pure or mixed resource states
• On the local unitary equivalence of states of multi-partite systems
• Structural Physical Approximation make possible to realize the optimal singlet fraction with two measurements
• Detection of mixed bipartite entangled state in arbitrary dimension via structural physical approximation of partial transposition
• Constructing Entanglement Witness Via Real Skew-Symmetric Operators

Cited by in corpus (5)

• Entanglement detection in arbitrary dimensional bipartite quantum systems through partial realigned moments
• Higher-dimensional entanglement detection and quantum channel characterization using moments of generalized positive maps
• Sufficient criteria for absolute separability in arbitrary dimensions via linear map inverses
• Structured Negativity: A physically realizable measure of entanglement based on structural physical approximation
• Unitary and non-unitary operators leverage perfect and imperfect single qutrit teleportation