Techniques to maintain or extend quantum entanglement for communication or computation.Quantum entanglement preservation refers to the techniques and strategies used to maintain or extend the lifetime of quantum entanglement, which is a fragile resource that degrades due to interactions with the environment. Entanglement is essential for quantum communication, quantum cryptography, and quantum computation, but it is easily destroyed by decoherence. Preservation methods aim to protect entangled states from environmental noise, allowing them to be used for longer periods or over longer distances.
The concept of entanglement preservation has been studied since the 1990s, following the discovery of quantum error correction by Peter Shor and Andrew Steane in 1995. The development of decoherence-free subspaces and dynamical decoupling also contributed to the field, with key work by Lorenza Viola and others in the late 1990s.
The primary mechanism for entanglement preservation is decoherence suppression, which can be achieved through various means. These include dynamical decoupling, where sequences of pulses are applied to the system to average out environmental interactions; quantum error correction, which encodes information redundantly to detect and correct errors; and the use of decoherence-free subspaces, where certain states are inherently protected from noise. Additionally, entanglement distillation can be used to extract a smaller number of highly entangled states from a larger number of weakly entangled ones.
Entanglement preservation is crucial for quantum repeaters in long-distance quantum communication, as well as for maintaining coherence in quantum computers during computations.
Quantum entanglement can be preserved indefinitely in theory using quantum error correction, but in practice, the overhead required grows rapidly with the size of the system, making it a major engineering challenge.
| X_1 | variable | quadrature operator of mode 1 — quadrature operator |
| X_2 | variable | quadrature operator of mode 2 — quadrature operator |
| P_1 | variable | momentum quadrature of mode 1 — quadrature operator |
| P_2 | variable | momentum quadrature of mode 2 — quadrature operator |
| δ | operator | difference between the operator and its expectation value — deviation operator |
| ⟨ ⟩ | operator | quantum mechanical average over the state — expectation value |


