Bell state

The Bell states, a concept in quantum information science, are specific quantum states of two qubits that represent the simplest (and maximal) examples of quantum entanglement. The Bell states are a form of entangled and normalized basis vectors. This normalization implies that the overall probability of the particle being in one of the mentioned states is 1: ⟨ Φ | Φ ⟩ = 1 {displaystyle langle Phi |Phi angle =1} . Entanglement is a basis-independent result of superposition. Due to this superposition, measurement of the qubit will collapse it into one of its basis states with a given probability. Because of the entanglement, measurement of one qubit will assign one of two possible values to the other qubit instantly, where the value assigned depends on which Bell state the two qubits are in. Bell states can be generalized to represent specific quantum states of multi-qubit systems, such as the GHZ state for 3 subsystems. The Bell states, a concept in quantum information science, are specific quantum states of two qubits that represent the simplest (and maximal) examples of quantum entanglement. The Bell states are a form of entangled and normalized basis vectors. This normalization implies that the overall probability of the particle being in one of the mentioned states is 1: ⟨ Φ | Φ ⟩ = 1 {displaystyle langle Phi |Phi angle =1} . Entanglement is a basis-independent result of superposition. Due to this superposition, measurement of the qubit will collapse it into one of its basis states with a given probability. Because of the entanglement, measurement of one qubit will assign one of two possible values to the other qubit instantly, where the value assigned depends on which Bell state the two qubits are in. Bell states can be generalized to represent specific quantum states of multi-qubit systems, such as the GHZ state for 3 subsystems. Understanding of the Bell states is essential in analysis of quantum communication (such as superdense coding) and quantum teleportation. The no-communication theorem prevents this behavior from transmitting information faster than the speed of light, because there is a need for A to communicate information to B. The Bell states are four specific maximally entangled quantum states of two qubits. They are in a superposition of 0 and 1--that is, a linear combination of the two states. Their entanglement means the following: