The term "Bell state," named after physicist John S. Bell, refers to two quantum particles that are entangled and share a single quantum state. The word "Bell" is pronounced /bɛl/, where the first letter "b" makes a voiced bilabial plosive sound followed by the short vowel "e" (/ɛ/) and an unvoiced alveolar lateral sound "l" (/l/). The term "state" is pronounced /steɪt/, with a voiceless alveolar plosive sound "s" (/s/), a long vowel "eɪ" (/eɪ/), and an unvoiced alveolar stop "t" (/t/). Together, "Bell state" is pronounced /bɛl steɪt/.
A Bell state refers to a specific quantum entangled state of a system consisting of two or more particles, typically qubits, which are the fundamental units of quantum information. It is named after physicist John S. Bell, who played an instrumental role in investigating the fundamental aspects of quantum mechanics.
In a Bell state, the quantum states of the particles are entangled in a way that the overall state cannot be described independently for each individual particle. Instead, the state of one particle is fundamentally connected to the state of the other particles, regardless of the distance between them. This property of entanglement, known as non-locality, is a defining characteristic of Bell states.
Typically, Bell states are represented in terms of spin measurements of particles, such as polarization states of photons or electron spins. The most well-known and commonly used Bell state is the maximally entangled state known as the "singlet state" or "EPR state" (Einstein-Podolsky-Rosen state), which exhibits perfect anti-correlation between the measurements of two particles along any direction.
Bell states have been extensively studied and utilized in various areas of quantum information processing, particularly in quantum communication and quantum computing. They play a crucial role in protocols like quantum teleportation, quantum cryptography, and quantum error correction, among others. The non-local correlations exhibited by Bell states have remarkable implications for the foundations of quantum mechanics and have been confirmed experimentally, solidifying their status as a cornerstone of quantum information science.
The term "Bell state" is named after the Irish physicist John Stewart Bell, who made significant contributions to the foundations of quantum mechanics and the understanding of quantum entanglement. Bell's work led to the formulation of Bell's inequality and the Bell state, which are crucial concepts in the field of quantum physics. The term "Bell state" was introduced to describe a particular entangled state of two quantum systems, in which their properties are highly correlated regardless of the distance between them. This state plays a fundamental role in studies related to quantum teleportation, quantum cryptography, and quantum computing.