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September 5, 2025QuantumOpen Access

Superposition detection and QMA with non-collapsing measurements

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Authors

RBRoozbeh BassirianKMKunal Marwaha

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Overview

Proving that QMA equals NEXP with non-collapsing measurements, highlighting insights into quantum state testing.

Key Points

  • This result confirms that QMA computations can be equivalent to NEXP, expanding the understanding of quantum complexity.
  • Utilizing a modified proof, the work resolves an open question related to quantum measurement and state verification.
  • The approach addresses an unphysical property testing problem, emphasizing its implications for quantum states and basis elements.
  • Findings propose significant advancements in quantum measurement, potentially impacting future research in quantum computing.

Cite This Study

Bassirian et al. (2025) studied this question.

synapsesocial.com/papers/68bb3d682b87ece8dc956972https://doi.org/10.22331/q-2025-08-28-1839
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Also Consider

Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context:

  1. 1Cryptographic distinguishability measures for quantum-mechanical states1999 · 783 citations
  2. 2On QMA protocols with two short quantum proofs2012 · 6 citations
  3. 3Quantum computing, postselection, and probabilistic polynomial-time2005 · 321 citations
  4. 4Proof verification and the hardness of approximation problems1998 · 1,428 citations
  5. 5Fast amplification of QMA2009 · 70 citations