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Decoherence is a challenge for the practical realization of quantum computers, since such machines are expected to rely heavily on the undisturbed evolution of quantum coherences. They require that the coherence of states be preserved and that decoherence be managed, in order to actually perform quantum computation.
That these codes allow indeed for quantum computations of arbitrary length is the content of the quantum threshold theorem, found by Michael Ben-Or and Dorit Aharonov, which asserts that you can correct for all errors if you concatenate quantum codes such as the CSS codes—i.e. re-encode each logical qubit by the same code again, and so on, on ...
Zeh further claims that decoherence makes it possible to identify the fuzzy boundary between the quantum microworld and the world where the classical intuition is applicable. [25] [26] Quantum decoherence becomes an important part of some modern updates of the Copenhagen interpretation based on consistent histories.
The in depth study of quantum decoherence has proposed that collapse is related to the interaction of a quantum system with its environment. Historically, Werner Heisenberg was the first to use the idea of wave function reduction to explain quantum measurement.
Density matrices make it much easier to describe the process and calculate its consequences. Quantum decoherence explains why a system interacting with an environment transitions from being a pure state, exhibiting superpositions, to a mixed state, an incoherent combination of classical alternatives.
Quantum decoherence is a mechanism through which quantum systems lose coherence, and thus become incapable of displaying many typically quantum effects: quantum superpositions become simply probabilistic mixtures, and quantum entanglement becomes simply classical correlations.
But the no-hiding theorem is a more general proof of conservation of quantum information which originates from the proof of conservation of wave function in quantum theory. It may be noted that the conservation of entropy holds for a quantum system undergoing unitary time evolution and that if entropy represents information in quantum theory ...
Zeh's research revolves around the fundamental problems of quantum mechanics since the 1960s, in particular with Hugh Everett III's many-worlds interpretation.Zeh was one of the developers of the many-minds interpretation of quantum mechanics [3] and the discoverer of decoherence, first described in his seminal 1970 paper.