Bipartite entanglement in fermion systems
arXiv:1704.08091 · doi:10.1103/PhysRevA.95.062320
Abstract
We discuss the relation between fermion entanglement and bipartite entanglement. We first show that an exact correspondence between them arises when the states are constrained to have a definite local number parity. Moreover, for arbitrary states in a four dimensional single-particle Hilbert space, the fermion entanglement is shown to measure the entanglement between two distinguishable qubits defined by a suitable partition of this space. Such entanglement can be used as a resource for tasks like quantum teleportation. On the other hand, this fermionic entanglement provides a lower bound to the entanglement of an arbitrary bipartition although in this case the local states involved will generally have different number parities. Finally the fermionic implementation of the teleportation and superdense coding protocols based on qubits with odd and even number parity is discussed, together with the role of the previous types of entanglement.
10 pages, 2 figures, final version
References in corpus (18)
- General criterion for the entanglement of two indistinguishable particles
- Fermionic mode entanglement in quantum information
- Separability Criteria and Entanglement Measures for Pure States of N Identical Fermions
- Reasonable fermionic quantum information theories require relativity
- Entanglement in fermion systems and quantum metrology
- Generalized non-additive entropies and quantum entanglement
- Pairing in fermionic systems: A quantum information perspective
- Entanglement of indistinguishable particles as a probe for quantum phase transitions in the extended Hubbard model
- Single-electron entanglement and nonlocality
- Violation of majorization relations in entangled states and its detection by means of generalized entropic forms
- Computable Measures for the Entanglement of Indistinguishable Particles
- Multipartite concurrence for identical-fermion systems
- Classical simulation of fermionic linear optics augmented with noisy ancillas
- Entanglement spectrum and number fluctuations in the spin-partitioned BCS ground state
- Quantumness of Correlations in Fermionic Systems
- One-body information loss in fermion systems
- Generalized conditional entropy optimization for qudit-qubit states
- Coffman-Kundu-Wootters inequality for fermions
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- Entangling Bosons through Particle Indistinguishability and Spatial Overlap
- Fermionic entanglement in the Lipkin model
- Fermionic Entanglement in Superconducting Systems
- One-body entanglement as a quantum resource in fermionic systems
- Many-body entanglement in fermion systems
- Skew-Symmetric Tensor Decomposition
- Orbital and electronic entanglement in quantum teleportation schemes
- Tighter monogamy inequalities of multiqubit entanglement
- Completely Positive Maps for Reduced States of Indistinguishable Particles
- Tighter parameterized monogamy relations
- Witness based nonlinear detection of quantum entanglement
- Taming identical particles for discerning the genuine non-locality
- Bipartite representations and many-body entanglement of pure states of indistinguishable particles
- Analyzing the free states of one quantum resource theory as resource states of another
- Speed of evolution in entangled fermionic systems
- Superior monogamy and polygamy relations and estimates of concurrence
- Decoherence of charge density waves in beam splitters for interacting quantum wires
- Unified monogamy and polygamy relations for multipartite systems
- Non-local spin entanglement in a fermionic chain