Super-quantum correlation and geometry for Bell-diagonal states with weak measurements
arXiv:1302.4039 · doi:10.1007/s11128-013-0649-y
Abstract
We propose "super one-way deficit" by weak measurement as the generalization of one-way deficit defined for standard projective measurement. The super one-way deficit for Werner state is obtained analytically. We find that super one-way deficit is smaller than the standard one-way deficit, which contrasts with a straightforward expectation based on the known fact that super-quantum discord by weak measurement is always larger than the quantum discord defined by projective measurement. On the other hand, by tuning the weak measurement continuously to the projective measurement, both super one-way deficit and super-quantum discord converge to the same value, which is either the one-way deficit or the quantum discord both quantifying quantum correlation. In this sense, weak measurement does not necessarily capture more quantumness of correlations. We also give the geometry of super- quantum discord of the Bell-diagonal states with explicit geometrical figures. As an application, the dynamic behavior of super- quantum correlation including super-quantum discord and super one-way deficit under decoherence is investigated. We find that the order relation of the super-quantum correlation and the quantum correlation keep unchanged under the phase flipping channel for the Bell-diagonal states and the Werner states.
11 pages, 10 figures
References in corpus (47)
- Introducing Quantum Discord
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Necessary and sufficient condition for non-zero quantum discord
- Quantum Nonlocality without Entanglement
- Quantum discord for two-qubit X-states
- Unified View of Quantum and Classical Correlations
- Ultrasensitive Beam Deflection Measurement via Interferometric Weak Value Amplification
- Quantum Open System Theory: Bipartite Aspects
- Robustness of quantum discord to sudden death
- A Thermodynamical Approach to Quantifying Quantum Correlations
- Classical and quantum correlations under decoherence
- Quantum versus classical correlations in Gaussian states
- Gaussian quantum discord
- Local versus non-local information in quantum information theory: formalism and phenomena
- No-local-broadcasting theorem for quantum correlations
- Quantum Discord and Maxwell's Demons
- Quantum discord of two-qubit X-states
- Non-Markovian effect on the quantum discord
- Linking Quantum Discord to Entanglement in a Measurement
- Einselection and Decoherence from an Information Theory Perspective
- Reversible transformations from pure to mixed states, and the unique measure of information
- Quantum Discord and the Geometry of Bell-Diagonal States
- Weak measurements are universal
- Quantum discord and geometry for a class of two-qubit states
- Quantum discord bounds the amount of distributed entanglement
- Quantum cost for sending entanglement
- Information as a resource in distributed quantum systems
- Environment-induced sudden transition in quantum discord dynamics
- Experimental feedback control of quantum systems using weak measurements
- Correlations in local measurements on a quantum state, and complementarity as an explanation of nonclassicality
- Calculation of quantum discord for qubit-qudit or N qubits
- Frozen discord in non-Markovian dephasing channels
- Super Quantum Discord with Weak Measurements
- Interferometric weak value deflections: quantum and classical treatments
- On the optimal measurement for quantum discord of two-qubit states
- Weak Measurements with Arbitrary Pointer States
- Weak measurement: Effect of the detector dynamics
- Weak measurements with a qubit meter
- A new type of complementarity between quantum and classical information
- Weak and semiweak values in non-ideal spin measurements: an exact treatment beyond the asymptotic regime
- The One-Way Information Deficit and Geometry for a Class of Two-qubit States
- Classical information deficit and monotonicity on local operations
- Weak Measurements with Entangled Probes
- Bounds on localisable information via semidefinite programming
- Weak measurement induced super discord can resurrect lost quantumness
- Physical Cost of Erasing Quantum Correlation
Cited by in corpus (15)
- Weak quantum discord
- Super quantum discord for general two qubit X states
- Preparing tunable Bell-diagonal states on a quantum computer
- Enhancing robustness of multiparty quantum correlations using weak measurement
- Geometry of skew information-based quantum coherence
- Interference Visibility as a Witness of Entanglement and Quantum Correlation
- Super quantum discord for X-type states
- Role of weak measurements on states ordering and monogamy of quantum correlation
- Simulating the effect of weak measurements by a phase damping channel and determining different measures of bipartite correlations in nuclear magnetic resonance
- Direct-dynamical entanglement-discord relations
- Quantum correlation cost of the weak measurement
- Super-quantum discord in ferromagnetic and antiferromagnetic materials
- On super quantum discord for high-dimensional bipartite state
- The -th decay rate of coherence for Bell-diagonal states under quantum channels
- Maximal Holevo quantity based on weak measurements