An easy measure of quantum correlation

An easy measure of quantum correlation To measure the quantum correlation of a bipartite state, a test matrix is constructed through the commutations among the blocks of its density matrix, which turns out to be a zero matrix for a classical state with zero quantum correlation, and a nonzero one for a quantum state with positive quantum correlation. The Frobenius norm of the test matrix is used to measure the quantum correlation, which satisfies the basic requirements for a good measure and coincides with Wootters concurrence for two-qubit pure states. Since no optimization is involved in the definition, this measure of quantum correlation is easy to compute and even can be calculated manually. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Quantum Information Processing Springer Journals

An easy measure of quantum correlation

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Abstract

To measure the quantum correlation of a bipartite state, a test matrix is constructed through the commutations among the blocks of its density matrix, which turns out to be a zero matrix for a classical state with zero quantum correlation, and a nonzero one for a quantum state with positive quantum correlation. The Frobenius norm of the test matrix is used to measure the quantum correlation, which satisfies the basic requirements for a good measure and coincides with Wootters concurrence for two-qubit pure states. Since no optimization is involved in the definition, this measure of quantum correlation is easy to compute and even can be calculated manually.

Journal

Quantum Information Processing – Springer Journals

Published: Aug 25, 2015

References

  • Power of one bit of quantum information
    Knill, E; Laflamme, R
  • Quantum discord and the power of one qubit
    Datta, A; Shaji, A; Caves, CM
  • Experimental quantum computing without entanglement
    Lanyon, BP; Barbieri, M; Almeida, MP; White, AG
  • No-local-broadcasting theorem for multipartite quantum correlations
    Piani, M; Horodecki, P; Horodecki, R
  • Robustness of quantum discord to sudden death
    Werlang, T; Souza, S; Fanchini, FF; Villas Boas, CJ
  • Decoherent dynamics of quantum correlations in qubit–qutrit systems
    Guo, JL; Li, H; Long, GL
    Bookmark
  • Decoherence dynamics of geometric measure of quantum discord and measurement induced nonlocality for noninertial observers at finite temperature
    Ramzan, M
    Bookmark
  • Criteria for measures of quantum correlations
    Brodutch, A; Modi, K
  • Entropy, optimal decompositions of states relative to a maximal commutative subalgebra
    Uhlmann, A
  • Distributed entanglement
    Coffman, V; Kundu, J; Wootters, WK
  • Non-monogamy of quantum discord and upper bounds for quantum correlation
    Ren, XJ; Fan, H
  • Monogamy properties of quantum and classical correlations
    Giorgi, GL
  • Mixed-state entanglement and quantum error correction
    Bennett, CH; DiVincenzo, DP; Smolin, JA; Wootters, WK
  • Entanglement irreversibility from quantum discord and quantum deficit
    Cornelio, MF; Oliveira, MC; Fanchini, FF
  • Interpreting quantum discord through quantum state merging
    Madhok, V; Datta, A
  • Quantum discord: a measure of the quantumness of correlations
    Ollivier, H; Zurek, WH
  • Classical, quantum and total correlations
    Henderson, L; Vedral, V
  • Thermodynamical approach to quantifying quantum correlations
    Oppenheim, J; Horodecki, M; Horodecki, P; Horodecki, R
  • Local information as a resource in distributed quantum systems
    Horodecki, M; Horodecki, K; Horodecki, P; Horodecki, R; Oppenheim, J; Sen, A; Sen, U
  • Local versus nonlocal information in quantum-information theory: formalism and phenomena
    Horodecki, M; Horodecki, P; Horodecki, R; Oppenheim, J; Sen, A; Sen, U; Synak-Radtke, B
  • Using measurement-induced disturbance to characterize correlations as classical or quantum
    Luo, SL
  • Measurement-induced nonlocality
    Luo, SL; Fu, SS
  • Maximum nonlocal effects of quantum states
    Fu, SS; Luo, SL
  • Necessary and sufficient condition for nonzero quantum discord
    Dakić, B; Vedral, V; Brukner, C
  • Unified view of quantum and classical correlations
    Modi, K; Paterek, T; Son, W; Vedral, V; Williamson, M
  • Geometric measure of quantum discord
    Luo, SL; Fu, SS
    Bookmark
  • Unified view of correlations using the square-norm distance
    Bellomo, B; Giorgi, GL; Galve, F; Lo Franco, R; Compagno, G; Zambrini, R
  • Entanglement of formation of an arbitrary state of two qubits
    Wootters, WK
  • Computing quantum discord is NP-complete
    Huang, YC
  • Analytic expressions of discord and geometric discord in Werner derivatives
    Tang, HJ; Liu, YM; Chen, JL; Ye, BL; Zhang, ZJ
    Bookmark
  • Quantum discord for two-qubit systems
    Luo, SL
  • Quantum discord for two-qubit X states
    Ali, M; Rau, ARP; Alber, G
  • Geometric picture of quantum discord for two-qubit quantum states
    Shi, MJ; Jiang, FJ; Sun, CX; Du, JF
  • Positive-operator-valued measure optimization of classical correlations
    Hamieh, S; Kobes, R; Zaraket, H
  • Quantum discord for general two-qubit states: analytical progress
    Girolami, D; Adesso, G
  • Matrix Analysis (chaps. 2, 5 and 7)
    Horn, RA; Johnson, CR
  • A new criterion for zero quantum discord
    Huang, JH; Wang, L; Zhu, SY
  • Computable measure of quantum correlation
    Akhtarshenas, S; Mohammadi, H; Karimi, S; Azmi, Z
  • Quantum states with Einstein–Podolsky–Rosen correlations admitting a hidden-variable model
    Werner, RF
  • Separability criterion for density matrices
    Peres, A
  • Separability of mixed states: necessary and sufficient conditions
    Horodecki, M; Horodecki, P; Horodecki, R
  • Computable measure of entanglement
    Vidal, G; Werner, RF
  • Mixed-state entanglement and distillation: Is there a “bound” entanglement in nature?
    Horodecki, M; Horodecki, P; Horodecki, R
  • Bound entanglement can be activated
    Horodecki, P; Horodecki, M; Horodecki, R
  • Geometric discord and measurement-induced nonlocality for well known bound entangled states
    Rana, S; Parashar, P
  • Entanglement, nonlinear dynamics, and the Heisenberg limit
    Pezze, L; Smerzi, A

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