Develops a resource-theoretic framework for coherence in continuous position basis using a measurement-induced dephasing channel, defining quantifiers, witnesses, and an application to Gaussian wavepackets in gravitational potentials.
Quantifying Superposition
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abstract
Measures are introduced to quantify the degree of superposition in mixed states with respect to orthogonal decompositions of the Hilbert space of a quantum system. These superposition measures can be regarded as analogues to entanglement measures, but can also be put in a more direct relation to the latter. By a second quantization of the system it is possible to induce superposition measures from entanglement measures. We consider the measures induced from relative entropy of entanglement and entanglement of formation. We furthermore introduce a class of measures with an operational interpretation in terms of interferometry. We consider the superposition measures under the action of subspace preserving and local subspace preserving channels. The theory is illustrated with models of an atom undergoing a relaxation process in a Mach-Zehnder interferometer.
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Introduces coherence non-activating measurements, links their activating ability to steering, and examines discord based on them under local incoherent operations.
Catalysis can enhance coherence fraction after noisy channels under analyzed conditions, and a nec-and-suff condition is given for incoherent-state-preserving CPTP maps to be Strictly Incoherent Operations.
Quantum coherence in a harmonic oscillator coupled to a thermal bath via Lindblad dynamics produces a violation of the Clausius inequality at low temperatures.
citing papers explorer
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Resource theory of coherence in continuous position basis from measurement-induced dephasing
Develops a resource-theoretic framework for coherence in continuous position basis using a measurement-induced dephasing channel, defining quantifiers, witnesses, and an application to Gaussian wavepackets in gravitational potentials.
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Coherence non-activating measurement
Introduces coherence non-activating measurements, links their activating ability to steering, and examines discord based on them under local incoherent operations.
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Catalytic Enhancement of Coherence in Noisy Quantum Channels and Characterization of Strictly Incoherent Operations
Catalysis can enhance coherence fraction after noisy channels under analyzed conditions, and a nec-and-suff condition is given for incoherent-state-preserving CPTP maps to be Strictly Incoherent Operations.
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Clausius inequality versus quantum coherence
Quantum coherence in a harmonic oscillator coupled to a thermal bath via Lindblad dynamics produces a violation of the Clausius inequality at low temperatures.