Distillation of maximally correlated bosonic matter from many-body quantum coherence
arXiv:1905.07361 · doi:10.22331/q-2020-09-24-330
Abstract
We construct quantum coherence resource theories in symmetrized Fock space (QCRTF), thereby providing an information-theoretic framework that connects analyses of quantum coherence in discrete-variable (DV) and continuous variable (CV) bosonic systems. Unlike traditional quantum coherence resource theories, QCRTF can be made independent of the single-particle basis and allow to quantify coherence within and between particle number sectors. For example, QCRTF can be formulated in such a way that neither Bose-Einstein condensates nor Heisenberg-Weyl coherent states are considered as quantum many-body coherence resources, whereas spin-squeezed and quadrature squeezed states are. The QCRTF framework is utilized to calculate the optimal asymptotic distillation rate of maximally correlated bosonic states both for particle number conserving resource states and resource states of indefinite particle number. In particular, we show how to generate a uniform superposition of maximally correlated bosonic states from a state of maximal bosonic coherence with asymptotically unit efficiency using only free operations in the QCRTF.
arXiv comment19 pages, 2 figure
References in corpus (35)
- Quantifying Coherence
- Operational Resource Theory of Coherence
- The characterization of Gaussian operations and Distillation of Gaussian States
- From Classical to Quantum Shannon Theory
- Hybrid quantum information processing
- Everything You Always Wanted to Know About LOCC (But Were Afraid to Ask)
- Intrinsic randomness as a measure of quantum coherence
- The entanglement of indistinguishable particles shared between two parties
- Quantum coherence in multipartite systems
- How to quantify coherence: Distinguishing speakable and unspeakable notions
- Distribution of quantum coherence in multipartite systems
- Conditional Production of Superpositions of Coherent States with Inefficient Photon Detection
- Converting Nonclassicality into Entanglement
- Driving non-Gaussian to Gaussian states with linear optics
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Extracting entanglement from identical particles
- Displaced and Squeezed Number States
- Quantifying coherence of Gaussian states
- Quantifying Coherence in Infinite Dimensional Systems
- Operational resource theory of continuous-variable nonclassicality
- Quantifying the Coherence Between Coherent States
- The Church of the Symmetric Subspace
- Non-Gaussian operations on bosonic modes of light: Photon-added Gaussian channels
- Coherence, Quantum Fisher Information, Superradiance and Entanglement are Interconvertible Resources
- One-Shot Coherence Distillation: Towards Completing the Picture
- Converting multilevel nonclassicality into genuine multipartite entanglement
- Generating spin squeezing states and Greenberger-Horne-Zeilinger entanglement using a hybrid phonon-spin ensemble in diamond
- Activation of entanglement from quantum coherence and superposition
- Invariant integration over the orthogonal group
- Optimal and near-optimal probe states for quantum metrology of number conserving two-mode bosonic Hamiltonians
- Quantum coherences of indistinguishable particles
- Generating accessible entanglement in bosons via pair-correlated tunneling
- Nonclassical properties and quantum resources of hierarchical photonic superposition states
- Bosonic Particle-Correlated States: A Nonperturbative Treatment Beyond Mean Field
- Spatial distribution of superfluidity and superfluid distillation of Bose liquids