Quantifying quantum invasiveness
arXiv:1803.02836 · doi:10.1103/PhysRevA.99.022124
Abstract
We propose a resource theory of the quantum invasiveness of general quantum operations, i.e., those defined by quantum channels in Leggett-Garg scenarios. We are then able to compare the resource-theoretic framework of quantum invasiveness to the resource theory of coherence. We also show that the Fisher information is a quantifier of quantum invasiveness. This result allows us to establish a direct connection between the concept of quantum invasiveness and quantum metrology, by exploring the utility of the definition of quantum invasiveness in the context of metrological protocols.
arXiv commentRevised version, some substantial changes, to appear in PRA
References in corpus (27)
- Quantum entanglement
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantifying Coherence
- Quantum Coherence as a Resource
- Entanglement Measures and Purification Procedures
- Operational Resource Theory of Coherence
- General framework for estimating the ultimate precision limit in noisy quantum-enhanced metrology
- Entanglement monotones
- Generalized uncertainty relations: Theory, examples, and Lorentz invariance
- Leggett-Garg Inequalities
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Witnessing Quantum Coherence: from solid-state to biological systems
- A mathematical theory of resources
- Condition for macroscopic realism beyond the Leggett-Garg inequalities
- A strict experimental test of macroscopic realism in a superconducting flux qubit
- Detecting large quantum Fisher information with finite measurement precision
- Quantum processes which do not use coherence
- No Fine theorem for macrorealism: Limitations of the Leggett-Garg inequality
- Energy Cost of Creating Quantum Coherence
- Necessary and sufficient conditions for macroscopic realism from quantum mechanics
- A measure of physical reality
- Maximum violations of the quantum-witness equality
- Introducing categories to the practicing physicist
- Optimal experimental demonstration of error-tolerant quantum witnesses
- Modeling Leggett-Garg-inequality violation
- Inequivalent Leggett-Garg inequalities
- Connecting measurement invasiveness to optimal metrological scenarios
Cited by in corpus (18)
- Leggett-Garg macrorealism and the quantum nondisturbance conditions
- In and out of equilibrium quantum metrology with mean-field quantum criticality
- Measuring coherence of quantum measurements
- Enhancing quantum transport efficiency by tuning non-Markovian dephasing
- A Resource Theory of Quantum Measurements
- Precision bounds for multiple currents in open quantum systems
- Quantum versus classical transport of energy in coupled two-level systems
- A study of coherence based measure of quantumness in (non) Markovian channels
- Censorship of Quantum Resources in Quantum Networks
- Corrected Bell and Noncontextuality Inequalities for Realistic Experiments
- Detecting Macroscopic Indefiniteness of Cat States in Bosonic Interferometers
- Quantum observable's reality erasure with spacelike-separated operations
- Investigating nonclassicality in nonlinear electronic spectroscopy
- Correlating Local Quantum Reality with Causally Disconnected Choices
- Violation of Diagonal Non-Invasiveness: A Hallmark of Non-Classical Memory Effects
- Probability vector representation of the Schrödinger equation and Leggett-Garg-type experiments
- Hidden nonmacrorealism: reviving the Leggett-Garg inequality with stochastic operations
- Quantum contextuality from measurement invasiveness