An introductory review on resource theories of generalized nonclassical light
arXiv:2103.12314 · doi:10.1088/1742-6596/2038/1/012008
Abstract
Quantum resource theory is perhaps the most revolutionary framework that quantum physics has ever experienced. It plays vigorous roles in unifying the quantification methods of a requisite quantum effect as wells as in identifying protocols that optimize its usefulness in a given application in areas ranging from quantum information to computation. Moreover, the resource theories have transmuted radical quantum phenomena like coherence, nonclassicality and entanglement from being just intriguing to being helpful in executing realistic thoughts. A general quantum resource theoretical framework relies on the method of categorization of all possible quantum states into two sets, namely, the free set and the resource set. Associated with the set of free states there is a number of free quantum operations emerging from the natural constraints attributed to the corresponding physical system. Then, the task of quantum resource theory is to discover possible aspects arising from the restricted set of operations as resources. Along with the rapid growth of various resource theories corresponding to standard harmonic oscillator quantum optical states, significant advancement has been expedited along the same direction for generalized quantum optical states. Generalized quantum optical framework strives to bring in several prosperous contemporary ideas including nonlinearity, -symmetric non-Hermitian theories, -deformed bosonic systems, etc., to accomplish similar but elevated objectives of the standard quantum optics and information theories. In this article, we review the developments of nonclassical resource theories of different generalized quantum optical states and their usefulness in the context of quantum information theories.
arXiv comment15 pages
References in corpus (95)
- Quantum entanglement
- Real Spectra in Non-Hermitian Hamiltonians Having PT Symmetry
- Advances in Quantum Metrology
- Quantum information with continuous variables
- Making Sense of Non-Hermitian Hamiltonians
- Quantifying Coherence
- Unidirectional Invisibility induced by PT-Symmetric Periodic Structures
- Complex Extension of Quantum Mechanics
- Quantum Coherence as a Resource
- Pseudo-Hermiticity versus PT Symmetry: The necessary condition for the reality of the spectrum of a non-Hermitian Hamiltonian
- Fundamental Limits of Repeaterless Quantum Communications
- General Benchmarks for Quantum Repeaters
- Quantum Resource Theories
- Enhancing the sensitivity of the LIGO gravitational wave detector by using squeezed states of light
- Coherent Perfect Absorbers: Time-reversed Lasers
- Operational Resource Theory of Coherence
- Pseudo-Hermitian Representation of Quantum Mechanics
- Universal Quantum Computation with Continuous-Variable Cluster States
- Atom chip based generation of entanglement for quantum metrology
- Generation and manipulation of Schrödinger cat states in Rydberg atom arrays
- Probing Planck-scale physics with quantum optics
- Spectral equivalences, Bethe Ansatz equations, and reality properties in PT-symmetric quantum mechanics
- f-Oscillators and Nonlinear Coherent States
- Biorthogonal Quantum Mechanics
- Quantum cryptography with squeezed states
- Preparation of Nonclassical States in Cavities with a Moving Mirror
- Quantum Metrology for Gravitational Wave Astronomy
- Observation of multi-component atomic Schrödinger cat states of up to 20 qubits
- PT symmetry and spontaneous symmetry breaking in a microwave billiard
- A computable measure of nonclassicality for light
- End-to-end capacities of a quantum communication network
- A mathematical theory of resources
- Extension of PT-Symmetric Quantum Mechanics to Quantum Field Theory with Cubic Interaction
- Coherent control of vacuum squeezing in the Gravitational-Wave Detection Band
- Mean-field dynamics of a non-Hermitian Bose-Hubbard dimer
- Quantifying entanglement resources
- Converting Nonclassicality into Entanglement
- Breeding the optical Schroedinger's cat state
- Quantum-criticality-induced strong Kerr nonlinearities in optomechanical systems
- Operational Resource Theory of Imaginarity
- Unified quantification of nonclassicality and entanglement
- Nonclassicality as a Quantifiable Resource for Quantum Metrology
- Observation of Fast Evolution in Parity-Time-Symmetric System
- Generation of Squeezed States of Nanomechanical Resonators by Reservoir Engineering
- Fundamental limits to quantum channel discrimination
- Experimental Realisation of a Thermal Squeezed State of Levitated Optomechanics
- Photon-added coherent states as nonlinear coherent states
- One-Shot Operational Quantum Resource Theory
- Stimulation of the fluctuation superconductivity by the PT-symmetry
- Towards resource theory of coherence in distributed scenarios
- A resource theory of entanglement with a unique multipartite maximally entangled state
- Squeezing of a movable mirror via the dissipative optomechanical coupling
- Generation of squeezed states of microwave radiation in a superconducting resonant circuit
- Quantifying Bell: the Resource Theory of Nonclassicality of Common-Cause Boxes
- Quantifying the Coherence Between Coherent States
- Coherent states for Hamiltonians generated by supersymmetry
- PT-Symmetric Versus Hermitian Formulations of Quantum Mechanics
- Convex ordering and quantification of quantumness
- q-deformed noncommutative cat states and their nonclassical properties
- Pseudo-Hermiticity and some consequences of a generalized quantum condition
- Negativity of quasiprobability distributions as a measure of nonclassicality
- Maths-type q-deformed coherent states for q > 1
- Time-dependent q-deformed coherent states for generalized uncertainty relations
- Noncommutative -photon added coherent states
- Squeezed coherent states for noncommutative spaces with minimal length uncertainty relations
- Construction of a unique metric in quasi-Hermitian quantum mechanics: non-existence of the charge operator in a 2 x 2 matrix model
- Entangled squeezed states in noncommutative spaces with minimal length uncertainty relations
- PT-symmetric noncommutative spaces with minimal volume uncertainty relations
- On the eigenproblems of PT-symmetric oscillators
- A new bound on polymer quantization via an opto-mechanical setup
- Operational Resource Theory of Nonclassicality via Quantum Metrology
- Noncommutative quantum mechanics in a time-dependent background
- Type-independent Characterization of Spacelike Separated Resources
- Bohmian quantum trajectories from coherent states
- Optimization and learning of quantum programs
- Convex optimization of programmable quantum computers
- Nonclassicality versus entanglement in a noncommutative space
- Probing noncommutative theories with quantum optical experiments
- Generalized uncertainty relations and coherent and squeezed states
- Hermitian versus non-Hermitian representations for minimal length uncertainty relations
- Isospectral Hamiltonians from Moyal products
- Generalized squeezed states
- Persistence of Topological Phases in Non-Hermitian Quantum Walks
- PT-symmetry and its spontaneous breakdown explained by anti-linearity
- Controlling decoherence via -symmetric non-Hermitian open quantum systems
- -deformed quadrature operator and optical tomogram
- Spontaneous PT-symmetry breaking for systems of noncommutative Euclidean Lie algebraic type
- Milne quantization for non-Hermitian systems
- Non-Hermitian systems of Euclidean Lie algebraic type with real eigenvalue spectra
- Nonclassical States for Non-Hermitian Hamiltonians with the Oscillator Spectrum
- Generalized photon-subtracted squeezed vacuum states
- Squeezed atom laser for Bose-Einstein condensate with minimal length
- Higher order nonclassicality from nonlinear coherent states for models with quadratic spectrum
- Solvable Models on Noncommutative Spaces with Minimal Length Uncertainty Relations
- On completeness of coherent states in noncommutative spaces with generalised uncertainty principle