Requirement of Dissonance in Assisted Optimal State Discrimination
arXiv:1208.2857 · doi:10.1038/srep02134
Abstract
A fundamental problem in quantum information is to explore what kind of quantum correlations is responsible for successful completion of a quantum information procedure. Here we study the roles of entanglement, discord, and dissonance needed for optimal quantum state discrimination when the latter is assisted with an auxiliary system. In such process, we present a more general joint unitary transformation than the existing results. The quantum entanglement between a principal qubit and an ancilla is found to be completely unnecessary, as it can be set to zero in the arbitrary case by adjusting the parameters in the general unitary without affecting the success probability. This result also shows that it is quantum dissonance that plays as a key role in assisted optimal state discrimination and not quantum entanglement. A necessary criterion for the necessity of quantum dissonance based on the linear entropy is also presented.
5 figures, 6 pages. Accepted by Scientific Reports
References in corpus (8)
- Quantum discord and the power of one qubit
- Experimental quantum computing without entanglement
- Complete universal quantum gate set approaching fault-tolerant thresholds with superconducting qubits
- Interpreting quantum discord through quantum state merging
- Operational interpretations of quantum discord
- Linking Quantum Discord to Entanglement in a Measurement
- All non-classical correlations can be activated into distillable entanglement
- Optimal Unambiguous Discrimination of Quantum States
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- Universal quantum correlation close to quantum critical phenomena
- Assisted optimal state discrimination without entanglement
- Discriminating bipartite mixed states by local operations
- Classical and Quantum Orbital Correlations in the Molecular Electronic States
- Coherence based on positive operator-valued measures for standard and concatenated quantum state discrimination with inconclusive results
- Intrinsic coherence in assisted sub-state discrimination
- Unambiguous state discrimination with intrinsic coherence
- Distributing quantum correlations through local operations and classical resources
- Generating quantum dissonance via local operations