How to quantify coherence: Distinguishing speakable and unspeakable notions

By Iman Marvian, Robert W. Spekkens. 2016

292 citations recorded by the source corpus.

A general framework for studying quantum coherence as a resource is presented, where coherence is classified as ``speakable'' or ``unspeakable'' based on whether or not the identity of the subspaces that appear in the coherent superposition is significant.

Subfields: Artificial Intelligence, Atomic and Molecular Physics, and Optics

View Paper: https://www.semanticscholar.org/paper/d6d6335eb79608d990685a5efa26a22ffc05ea25

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In Artificial Intelligence

In Atomic and Molecular Physics, and Optics

Citations in the corpus

Quantum coherence and geometric quantum discord (2017, background): “For more detailed explanations about the relations between coherence and asymmetry, and a comparison of different notions of coherence, see the recent works of Marvian and Spekkens (2016) and Marvian et al. (2016).”
Colloquium: quantum coherence as a resource (2016, background): “Also this class of operations does not admit a free dilation in general (Chitambar and Gour, 2016a,b, 2017; Marvian and Spekkens, 2016).”
Quantum resource theories (2018, methodology): “For example, when λn = n ∈ N, the state cos θ|0〉 + sin θ|1〉 can detect a phase shift of φ = π induced by the unitary e−iφT while the state cos θ|0〉+ sin θ|2〉 cannot (Marvian and Spekkens, 2014b, 2016).”
Quantum-enhanced measurements without entanglement (2017, background): “…between entanglement in parallel schemes and coherence (namely, superposition in the eigenbasis of the generator) (Baum- gratz et al., 2014; Marvian and Spekkens, 2016; Streltsov et al., 2017) in sequential schemes further extends to certain schemes of quantum metrology in the presence…”
Quantum processes which do not use coherence (2015, background): “[16] Iman Marvian and Robert W Spekkens, “How to quantify coherence: distinguishing speakable and unspeakable notions,” arXiv preprint arXiv:1602.”
Measures and applications of quantum correlations (2016, background): “resource theories of quantum coherence there are currently several alternative proposals for free operations, with dierent characterisations, and a still ongoing debate on their physical consistency [63, 43, 64, 44, 65, 45, 66, 67]. In this work, following [53], we postulate a strong monotonicity re”
Macroscopic quantum states: Measures, fragility, and implementations (2017, background): “This is in contrast to many variants of “speakable coherence” (Marvian and Spekkens, 2016), in which coherence between neighboring basis states can be freely transferred to coherence between distant states.”