Cambridge Encyclopedia :: Cambridge Encyclopedia Vol. 61

qubit - Representation, Qubit states, Entanglement, Variations of the qubit

The basic element of information in quantum computing; an abbreviation of quantum bit. In conventional computing, the basic element of information is the bit, having values of either ‘0’ or ‘1’. This is a two-state (binary) system. In quantum computing, information is also encoded using two states, but the quantum system is not restricted to existing merely in one or other, and can exist as a combination of both simultaneously. The qubit is in a superposition of two quantum states, a ‘0’ state and a ‘1’ state. Reading a qubit gives a certain probability of finding a ‘0’ state, and a certain probability of finding a ‘1’ state, and in the process destroys the special character of the qubit.

Representation

The states a qubit may be measured in are known as basis states (or vectors).

Qubit states

A pure qubit state is a linear superposition of those two states. Much like Schrödinger's cat, a qubit can exist in more than one state, but measuring that qubit causes that superposition to collapse into one state or the other, according to the probabilities mentioned above.

Entanglement

An important distinguishing feature between a qubit and a classical bit is that multiple qubits can exhibit quantum entanglement. Take, for example, two entangled qubits in the Bell state

(Note that in this state, there are equal probabilities of measuring either or .)

Imagine that these two entangled qubits are separated, with one each given to Alice and Bob.

The use of entanglement in quantum computing has been referred to as "quantum parallelism", and offers a possible explanation for the power of quantum computing: because the state of the computer can be in a quantum superposition of many different classical computational paths, these paths can all proceed concurrently.

Quantum register

A number of entangled qubits taken together is a qubit register.

Variations of the qubit

Similar to the qubit, a qutrit is a unit of quantum information in a 3-level quantum system.

This is an incomplete list of physical implementation of qubits:

Physical support Name Information support "0" "1"
Single photon (Fock states) Polarization encoding Polarization of light Horizontal Vertical
Photon number Photon number Vacuum Single photon state
Time-bin encoding Time of arrival Early Late
Coherent state of light Squeezed light Quadrature Amplitude-squeezed state Phase-squeezed state
Electrons Electronic spin Spin Up Down
Electron number Charge No electron One electron
Nucleus Nuclear spin addressed through NMR Spin Up Down
Optical lattices Atomic spin Spin Up Down
Josephson junction Superconducting charge qubit Charge Uncharged capacitor Charged capacitor
Josephson junction Superconducting flux qubit Current No current Current
Singly-charged quantum dot pair Electron localization Charge Electron on left dot Electron on right dot

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