Incoherent Operations Enable State Transformations Impossible under Dephasing-covariant Incoherent Operations
arXiv:2603.09240 · doi:10.1103/kqfh-58gy
Abstract
We show that incoherent operations (IOs) can achieve the state transformations that are forbidden under dephasing-covariant incoherent operations (DIOs), thereby resolving the open problem posed by Chitambar and Gour [Phys. Rev. Lett. 117, 030401 (2016)]. We further demonstrate that no set of IO monotones suffices to characterize state convertibility under strictly incoherent operations (SIOs), and that monotones common to IOs and DIOs are insufficient to characterize convertibility under DIOs.
6 pages, 1 figure
References in corpus (25)
- Quantum Mechanics helps in searching for a needle in a haystack
- Quantum cryptography: Public key distribution and coin tossing
- Quantum-enhanced measurements: beating the standard quantum limit
- Quantifying Coherence
- Quantum Coherence as a Resource
- Quantum Resource Theories
- Operational Resource Theory of Coherence
- Robustness of coherence: An operational and observable measure of quantum coherence
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Quantum coherence and geometric quantum discord
- Operational one-to-one mapping between coherence and entanglement measures
- Quantum processes which do not use coherence
- One-shot coherence distillation
- Structure of the resource theory of quantum coherence
- Probabilistic distillation of quantum coherence
- Deterministic Coherence Distillation
- Generic bound coherence under strictly incoherent operations
- One-Shot Coherence Distillation: Towards Completing the Picture
- Completing the Grand Tour of asymptotic quantum coherence manipulation
- Is there a finite complete set of monotones in any quantum resource theory?
- Coherence manipulation with dephasing-covariant operations
- Increasing the dimension of the maximal pure coherent subspace of a state via incoherent operations
- Undecidability in resource theory: can you tell theories apart?
- Coherence filtration under strictly incoherent operations
- Criterion for a state to be distillable via stochastic incoherent operations