Resolves 25-year-old open problems by proving QIP(2), qq-QAM, QAM, and QMA achieve perfect completeness. Introduces endpoint-inward turn-halving transformation that halves message complexity while preserving completeness guarantees.
#QuantumProofs #QuantumComplexity #QuantumInformation
#QuantumProofs #QuantumComplexity #QuantumInformation
Perfect Completeness for Quantum Interactive Proof Systems
arxiv.org
September 15, 2026 at 7:06 PM
Resolves 25-year-old open problems by proving QIP(2), qq-QAM, QAM, and QMA achieve perfect completeness. Introduces endpoint-inward turn-halving transformation that halves message complexity while preserving completeness guarantees.
#QuantumProofs #QuantumComplexity #QuantumInformation
#QuantumProofs #QuantumComplexity #QuantumInformation
Researchers proved QMA=QMA1, demonstrating quantum Merlin-Arthur proof systems can achieve perfect completeness without sacrificing computational power using a universal gate set of Hadamard, Toffoli, and X gates.
#QuantumComplexity #QuantumProofs #Research
#QuantumComplexity #QuantumProofs #Research
QMA Has Perfect Completeness
arxiv.org
September 14, 2026 at 11:54 PM
Researchers proved QMA=QMA1, demonstrating quantum Merlin-Arthur proof systems can achieve perfect completeness without sacrificing computational power using a universal gate set of Hadamard, Toffoli, and X gates.
#QuantumComplexity #QuantumProofs #Research
#QuantumComplexity #QuantumProofs #Research
Google quantum-proofs HTTPS by squeezing 2.5kB of data into 64-byte space
"Once viable, Shor’s algorithm could be used to forge classical encryption signatures and break classical encryption public keys o... https://dispatchesfromtheempire.net/2026/02/28/google-quantumproofs-https-by-squeezing.html
"Once viable, Shor’s algorithm could be used to forge classical encryption signatures and break classical encryption public keys o... https://dispatchesfromtheempire.net/2026/02/28/google-quantumproofs-https-by-squeezing.html
February 28, 2026 at 3:33 PM
Google quantum-proofs HTTPS by squeezing 2.5kB of data into 64-byte space
"Once viable, Shor’s algorithm could be used to forge classical encryption signatures and break classical encryption public keys o... https://dispatchesfromtheempire.net/2026/02/28/google-quantumproofs-https-by-squeezing.html
"Once viable, Shor’s algorithm could be used to forge classical encryption signatures and break classical encryption public keys o... https://dispatchesfromtheempire.net/2026/02/28/google-quantumproofs-https-by-squeezing.html
Proves that multiple unentangled quantum witnesses provide no additional computational power to stoquastic verifiers—collapsing StoqMA(k) to single-witness StoqMA via a positive de Finetti theorem isolating interference from entanglement.
#QuantumComplexity #QuantumProofs #Research
#QuantumComplexity #QuantumProofs #Research
Collapse of Unentangled Stoquastic Merlin-Arthur Proof Systems
arxiv.org
May 18, 2026 at 2:27 AM
Proves that multiple unentangled quantum witnesses provide no additional computational power to stoquastic verifiers—collapsing StoqMA(k) to single-witness StoqMA via a positive de Finetti theorem isolating interference from entanglement.
#QuantumComplexity #QuantumProofs #Research
#QuantumComplexity #QuantumProofs #Research