Bipartite entanglement in systems of identical particles: the partial transposition criterion
arXiv:1202.2993 · doi:10.1016/j.aop.2012.02.002
Abstract
We study bipartite entanglement in systems of N identical bosons distributed in M different modes. For such systems, a definition of separability not related to any a priori Hilbert space tensor product structure is needed and can be given in terms of commuting subalgebras of observables. Using this generalized notion of separability, we classify the states for which partial transposition turns out to be a necessary and sufficient condition for entanglement detection.
arXiv commentLaTeX, 22 pages
References in corpus (45)
- Quantum entanglement
- Many-Body Physics with Ultracold Gases
- A computable measure of entanglement
- Cold bosonic atoms in optical lattices
- Separability of Mixed States: Necessary and Sufficient Conditions
- Quantum-enhanced measurements: beating the standard quantum limit
- Peres-Horodecki separability criterion for continuous variable systems
- Ultracold atomic gases in optical lattices: mimicking condensed matter physics and beyond
- Atom Interferometers
- On the volume of the set of mixed entangled states
- Separability criterion and inseparable mixed states with positive partial transposition
- Many-particle entanglement with Bose--Einstein condensates
- Nonlinear atom interferometer surpasses classical precision limit
- Atom chip based generation of entanglement for quantum metrology
- Entanglement, Non-linear Dynamics, and the Heisenberg Limit
- Reference frames, superselection rules, and quantum information
- Quantum Optical Metrology -- The Lowdown on High-N00N States
- Squeezing and entanglement in a Bose-Einstein condensate
- Bound entangled Gaussian states
- Quantum Entanglement in Fermionic Lattices
- Quantum Correlations in Systems of Indistinguishable Particles
- Quantum Correlations in Two-Fermion Systems
- The entanglement of indistinguishable particles shared between two parties
- A subsystem-independent generalization of entanglement
- Virtual Quantum Subsystems
- Many particle entanglement in two-component Bose-Einstein Condensates
- Quantum Correlations in Two-Boson Wavefunctions
- Spin squeezing and entanglement
- Cold Bosons in Optical Lattices
- Entanglement of two-mode Bose-Einstein condensates
- Open Quantum Dynamics: Complete Positivity and Entanglement
- Entanglement in a two-identical-particle system
- Entanglement in fermionic systems
- High Temperature Macroscopic Entanglement
- Fermionic entanglement in itinerant systems
- Creation of high-quality long-distance entanglement with flexible resources
- Entanglement of indistinguishable particles in condensed matter physics
- Quantum entanglement theory in the presence of superselection rules
- Sub-shot-noise quantum metrology with entangled identical particles
- Entanglement of Identical Particles and the Detection Process
- Squeezing Inequalities and Entanglement for Identical Particles
- Generalization of entanglement to convex operational theories: Entanglement relative to a subspace of observables
- Spatial Entanglement From Off-Diagonal Long Range Order in a BEC
- Entangled identical particles and noise
- Structure of quantum correlations in momentum space and off diagonal long range order in eta pairing and BCS states
Cited by in corpus (51)
- Quantum enhanced measurements without entanglement
- Open-System Dynamics of Entanglement
- Partial time-reversal transformation and entanglement negativity in fermionic systems
- Quantum entanglement of identical particles by standard information-theoretic notions
- Entanglement in indistinguishable particle systems
- Entanglement negativity of fermions: monotonicity, separability criterion, and classification of few-mode states
- Asymptotic Floquet states of open quantum systems: The role of interaction
- Algebraic Approach to Entanglement and Entropy
- Entanglement in fermion systems and quantum metrology
- Spatial entanglement of bosons in optical lattices
- Precision Measurements of Temperature and Chemical Potential of Quantum Gases
- Entanglement of Identical Particles
- Four-qubit entangled symmetric states with positive partial transpositions
- A field-theoretical approach to entanglement in neutrino mixing and oscillations
- Entanglement robustness and geometry in systems of identical particles
- Dealing with indistinguishable particles and their entanglement
- Quantum teleportation with identical particles
- Universality of Schmidt decomposition and particle identity
- Entanglement Witnesses for Indistinguishable Particles
- Entanglement negativity in free-fermion systems: An overlap matrix approach
- Dissipative quantum metrology in manybody systems of identical particles
- Entangling Bosons through Particle Indistinguishability and Spatial Overlap
- Entanglement in dissipative dynamics of identical particles
- Decoherence dynamics of geometric measure of quantum discord and measurement-induced nonlocality for noninertial observers at finite temperature
- Remarks on entanglement and identical particles
- Entanglement of Identical Particles and Coherence in the First Quantization Language
- Generating entanglement with linear optics
- Entangling three identical particles via spatial overlap
- Performances and robustness of quantum teleportation with identical particles
- Dynamics of multipartite quantum correlations under decoherence
- How much entanglement can be created in a closed system?
- Signatures of Many-Particle Interference
- An algorithm to explore entanglement in small systems
- Entanglement in Algebraic Quantum Mechanics: Majorana fermion systems
- Hyper-hybrid entanglement, indistinguishability, and two-particle entanglement swapping
- Spatial separation and entanglement of identical particles
- Measuring quantumness: from theory to observability in interferometric setups
- Hanbury Brown-Twiss Effect with Wave Packets
- Entanglement and non-locality in quantum protocols with identical particles
- Direct measurement of particle statistical phase
- Locality and entanglement of indistinguishable particles
- Entanglement and algebraic independence in fermion systems
- Correlation-based entanglement criterion in bipartite multiboson systems
- Taming identical particles for discerning the genuine non-locality
- Fermionic quantum detailed balance and entanglement
- Applications of differential geometry and representation theory to description of quantum correlations
- Phase Transitions in Light-Matter Systems for Quantum Sensing
- Reduced density matrix of nonlocal identical particles
- Contextuality and nonlocality of indistinguishable particles
- Emergent Gauge Symmetries and Quantum Operations
- Generation of robust entangled states in a non-hermitian periodically driven two-band Bose-Hubbard system