Quantum correlation cost of the weak measurement
arXiv:1409.4017 · doi:10.1016/j.aop.2014.08.020
Abstract
Quantum correlation cost (QCC) characterizing how much quantum correlation is used in a weak-measurement process is presented based on the trace norm. It is shown that the QCC is related to the trace-norm-based quantum discord (TQD) by only a factor that is determined by the strength of the weak measurement, so it only catches partial quantumness of a quantum system compared with the TQD. We also find that the residual quantumness can be `extracted' not only by the further von Neumann measurement, but also by a sequence of infinitesimal weak measurements. As an example, we demonstrate our outcomes by the Bell-diagonal state.
arXiv commentTo appear in: Annals of Physics
References in corpus (41)
- Quantum entanglement
- Introducing Quantum Discord
- Classical, quantum and total correlations
- The classical-quantum boundary for correlations: discord and related measures
- Quantum discord and the power of one qubit
- Necessary and sufficient condition for non-zero quantum discord
- On the Power of One Bit of Quantum Information
- Quantum discord for two-qubit X-states
- Unified View of Quantum and Classical Correlations
- Direct Measurement of the Quantum Wavefunction
- Robustness of quantum discord to sudden death
- Characterizing Nonclassical Correlations via Local Quantum Uncertainty
- Classical and quantum correlations under decoherence
- Entanglement and the Power of One Qubit
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Quantum discord for general two--qubit states: Analytical progress
- Global Quantum Discord in Multipartite Systems
- Direct measurement of general quantum states using weak measurement
- Quantum discord of two-qubit X-states
- Geometric quantum discord through the Schatten 1-norm
- The problem with the geometric discord
- On the role of entanglement and correlations in mixed-state quantum computation
- System-reservoir dynamics of quantum and classical correlations
- Quantum Discord and the Geometry of Bell-Diagonal States
- Behavior of Quantum Correlations under Local Noise
- Weak measurements are universal
- Optimal measurements to access classical correlations of two-qubit states
- Negativity of quantumness and its interpretations
- Continuous Weak Measurement and Nonlinear Dynamics in a Cold Spin Ensemble
- Hierarchy and dynamics of trace distance correlations
- Quantum resources for hybrid communication via qubit-oscillator states
- Super Quantum Discord with Weak Measurements
- Quantum-correlating power of local quantum channels
- Generation of quantum discord between ionic qubits via noisy processes
- The geometric approach to quantum correlations: Computability versus reliability
- Super-quantum correlation and geometry for Bell-diagonal states with weak measurements
- Direct Measure of Quantum Correlation
- Non-zero total correlation means non-zero quantum correlation
- The Dual Roles of Quantum Discord in a Non-demolition Probing Task
- Entangling Power in the Deterministic Quantum Computation with One Qubit