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the claim
Quantum computations must be reversible to preserve the unitarity of quantum mechanical evolution.
the verdict
COMMON KNOWLEDGE
no citation needed for this one
refutedsupported
the weight of evidence
1 source for · 0 against

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.

Evidence for · 1
Closed-System Quantum Logic Network Implementation of the Viterbi Algorithm
2009 · cited by 43
This paper notes that closed quantum systems obey unitary evolution and are therefore reversible, making reversibility a fundamental requirement in quantum computing.
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The analysis

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.

Everything we examined (12)
We also searched for evidence AGAINST this claim, not only for it.
  1. Emergent quantum state designs and biunitarity in dual-unitary circuit dynamicspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  2. Experimental aspects of indefinite causal order in quantum mechanicspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  3. Closed-System Quantum Logic Network Implementation of the Viterbi Algorithmpeer-reviewedsupports
  4. Optimal Quantum Circuit Cuts with Application to Clustered Hamiltonian Simulationpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  5. Quantum computation is the unique reversible circuit model for which bits are ballspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  6. Measurement Quantum Cellular Automata and Anomalies in Floquet Codespeer-reviewedno side takennot shown: read and judged not to bear on this claim
  7. A Probabilistic Imaginary Time Evolution Algorithm Based on Non-unitary Quantum Circuitpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  8. Quantum Theory of the Classical: Einselection, Envariance, Quantum Darwinism and Extantons.peer-reviewedno side takennot shown: read and judged not to bear on this claim
  9. Hayden-Preskill recovery in chaotic and integrable unitary circuit dynamicspeer-reviewedno side takennot shown: read and judged not to bear on this claim
  10. Computation of Protein–Ligand Binding Free Energies with a Quantum Mechanics-Based Mining Minima Algorithmpeer-reviewedno side takennot shown: read and judged not to bear on this claim
  11. Quantum neural network-inspired variational quantum circuit for simulating diamond 14NV center Hamiltonian with a proximal 13C isotopepeer-reviewedno side takennot shown: read and judged not to bear on this claim
  12. The Quantum Memory Matrix: A Unified Framework for the Black Hole Information Paradox.peer-reviewedno side takennot shown: read and judged not to bear on this claim
The paper trail · every fact has a biography
first checked06 Aug 2026
judged → COMMON KNOWLEDGE · 6206 Aug 2026
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