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Definition 2024

Bell state ‎(plural Bell states)

(quantum information science) One of a set of four entangled states, namely $|\Phi ^{+}\rangle ={1 \over {\sqrt {2}}}(|00\rangle +|11\rangle )$ , $|\Phi ^{-}\rangle ={1 \over {\sqrt {2}}}(|00\rangle -|11\rangle )$ , $|\Psi ^{+}\rangle ={1 \over {\sqrt {2}}}(|01\rangle +|10\rangle )$ , and $|\Psi ^{-}\rangle ={1 \over {\sqrt {2}}}(|01\rangle -|10\rangle )$ , where $|xy\rangle :=|x\rangle \otimes |y\rangle$ ; these are the simplest examples of entangled states.