Bell states

GPTKB entity

Statements (30)
Predicate Object
gptkbp:instanceOf Quantum state
gptkbp:alsoKnownAs gptkb:EPR_pairs
gptkbp:basisFor Maximally entangled two-qubit states
gptkbp:containsElement gptkb:Two-qubit_Hilbert_space
gptkbp:example |Φ+⟩ = (|00⟩ + |11⟩)/√2
|Φ−⟩ = (|00⟩ − |11⟩)/√2
|Ψ+⟩ = (|01⟩ + |10⟩)/√2
|Ψ−⟩ = (|01⟩ − |10⟩)/√2
gptkbp:firstDescribed gptkb:John_S._Bell
1964
https://www.w3.org/2000/01/rdf-schema#label Bell states
gptkbp:mathematicalRepresentation Linear combinations of computational basis states
gptkbp:namedAfter gptkb:John_S._Bell
gptkbp:property Form a complete basis for two-qubit systems
Maximally entangled
Orthogonal
gptkbp:relatedTo gptkb:EPR_paradox
gptkb:Bell's_theorem
gptkb:Quantum_nonlocality
gptkbp:state 4
gptkbp:usedFor gptkb:Entanglement_swapping
gptkb:Quantum_dense_coding
gptkb:Quantum_error_correction
Testing local realism
gptkbp:usedIn gptkb:Quantum_information_theory
gptkb:Quantum_teleportation
Quantum cryptography
Quantum entanglement experiments
gptkbp:bfsParent gptkb:quantum_information_theory
gptkbp:bfsLayer 5