Quantum computations must be reversible to preserve the unitarity of quantum mechanical evolution.
Is it true that quantum computations must be reversible to preserve the unitarity of quantum mechanical evolution?
Quantum computations are fundamentally tied to reversible transformations because the standard evolution of closed quantum systems is governed by unitary operators, which require reversibility to preserve probability and state norms.
Verdict: COMMON KNOWLEDGE · 1 source for, 0 against · Last checked
The claim is a foundational definition in quantum mechanics and quantum computing: quantum mechanical evolution is unitary, and unitary operators are by definition invertible (reversible). Paper [2] directly affirms that closed quantum systems obey unitary evolution and are reversible. Because this is a direct mathematical consequence of standard quantum theory (unitary matrices are invertible), it falls under common knowledge, though supportive evidence from the literature is also present.
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Al-Rabadi, A. (2009). Closed-System Quantum Logic Network Implementation of the Viterbi Algorithm. doi.org. https://doi.org/10.2298/FUEE0901001A
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