Entanglement of quantum circular states of light
arXiv:1602.07852 · doi:10.1103/PhysRevA.93.062323
Abstract
We present a general approach to calculating the entanglement of formation for superpositions of two-mode coherent states, placed equidistantly on a circle in the phase space. We show that in the particular case of rotationally-invariant circular states the Schmidt decomposition of two modes, and therefore the value of their entanglement, are given by analytical expressions. We analyse the dependence of the entanglement on the radius of the circle and number of components in the superposition. We also show that the set of rotationally-invariant circular states creates an orthonormal basis in the state space of the harmonic oscillator, and this basis is advantageous for representation of other circular states of light.
10 pages, 6 figures
References in corpus (14)
- Mixed State Entanglement and Quantum Error Correction
- Dynamically protected cat-qubits: a new paradigm for universal quantum computation
- Observation of quantum state collapse and revival due to the single-photon Kerr effect
- Sub-Planck spots of Schroedinger cats and quantum decoherence
- A Schrodinger Cat Living in Two Boxes
- A computable measure of nonclassicality for light
- Generation of large-amplitude coherent-state superposition via ancilla-assisted photon-subtraction
- Review of Entangled Coherent States
- Unified quantification of nonclassicality and entanglement
- Holonomic quantum control with continuous variable systems
- The Entanglement of Superpositions
- On entanglement capabilities in infinite dimensions or multi-dimensional entangled coherent states
- Cluster-type entangled coherent states
- Optical qudit-type entanglement creation at long distances by means of small cross-Kerr nonlinearities
Cited by in corpus (8)
- Measuring nonclassicality of bosonic field quantum states via operator ordering sensitivity
- Quasiprobability distributions for quantum-optical coherence and beyond
- Nonclassical distance in multimode bosonic systems
- Thermal-difference states of light: quantum states of heralded photons
- Quantum teleportation of qudits by means of generalized quasi-Bell states of light
- Data-pattern tomography of entangled states
- Multicomponent cat states with sub-Planckian structures and their optomechanical analogues
- Schmidt decomposition of parity adapted coherent states for symmetric multi-quDits