Measurement-induced nonlocality in arbitrary dimensions in terms of the inverse approximate joint diagonalization
arXiv:1903.07305 · doi:10.1103/PhysRevA.97.032112
Abstract
Here we focus on the measurement induced nonlocality and present a redefinition in terms of the skew information subject to a broken observable. It is shown that the obtained quantity possesses an obvious operational meaning, can tackle the noncontractivity of the measurement induced nonlocality and has analytic expressions for many quantum states. Most importantly, an inverse approximate joint diagonalization algorithm, due to its simplicity, high efficiency, stability, and state independence, is presented to provide almost analytic expressions for any quantum state, which can also shed light on other aspects in physics.
References in corpus (47)
- Quantum entanglement
- Entanglement of Formation of an Arbitrary State of Two Qubits
- Mixed State Entanglement and Quantum Error Correction
- Separability Criterion for Density Matrices
- A computable measure of entanglement
- Introducing Quantum Discord
- Concentrating Partial Entanglement by Local Operations
- Purification of Noisy Entanglement and Faithful Teleportation via Noisy Channels
- Quantifying Coherence
- Classical, quantum and total correlations
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- Operational Resource Theory of Coherence
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- The Resource Theory of Quantum States Out of Thermal Equilibrium
- Robustness of coherence: An operational and observable measure of quantum coherence
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- Optimal Quantum Phase Estimation
- The general structure of quantum resource theories
- Concurrence of arbitrary dimensional bipartite quantum states
- Trace-distance measure of coherence
- Robustness of asymmetry and coherence of quantum states
- Relating the Resource Theories of Entanglement and Quantum Coherence
- The problem with the geometric discord
- Concurrence of mixed bipartite quantum states in arbitrary dimensions
- Quantum Coherence via Skew Information and Its Polygamy
- Variational Characterisations of Separability and Entanglement of Formation
- Measurement-induced nonlocality based on the trace norm
- Uncertainty-induced quantum nonlocality
- Structure of the resource theory of quantum coherence
- Resource Theory of Coherence - Beyond States
- Towards resource theory of coherence in distributed scenarios
- Quantum resources for hybrid communication via qubit-oscillator states
- Measurement-induced nonlocality based on the relative entropy
- Measures of coherence generating power for quantum unital operations
- Highly Entangled Ground States in Tripartite Qubit Systems
- Numerical evaluation of convex-roof entanglement measures with applications to spin rings
- Separability Criterion of Tripartite Qubit Systems
- Discord and quantum computational resources
- Efficient numerical method to calculate three-tangle of mixed states
- Quantum correlation measure in arbitrary bipartite systems
- Quantification of entanglement by means of convergent iterations
- Monogamy of Measurement Induced Non-Locality
- Geometric discord and Measurement-induced nonlocality for well known bound entangled states
- libCreme: An optimization library for evaluating convex-roof entanglement measures
- Quantum Dissonance Is Rejected in an Overlap Measurement Scheme
- Entanglement and measurement-induced nonlocality of mixed maximally entangled states in multipartite dynamics