All d⊗ d dimensional entangled states are useful for the antidiscrimination of quantum measurements when d is even

2025/10/30 by Manna, Satyaki
#FOS: Physical sciences #Quantum Physics (quant-ph)

paper · doi:10.48550/arxiv.2510.26255

Abstract

Piani and Watrous [Phys. Rev. Lett.102, 250501 (2009)] proved that all entangled states are useful for discrimination of quantum channels. We pose the same question in the context of antidiscrimination of quantum channels. We partially answer this by showing that for every d⊗ d entangled state (with even d), there exist three projective measurements which are antidiscriminable (but not discriminable) with that input state but those three measurements are not antidiscriminable with the product probe.

Citations

• Single-shot antidistinguishability of unitary operations
• Global vs. Local Discrimination of Locally Implementable Multipartite Unitaries
• Maximally ψ-epistemic models cannot explain gambling with two qubits
• Communication scenario enables robust self-testing of n-party Greenberger-Horne-Zeilinger basis measurements
• Limits of Classical correlations and Quantum advantages under (Anti-)Distinguishability constraints in Multipartite Communication
• Limitation of maximally entangled probes for single-shot distinguishability of unitaries
• Conclusive exclusion of quantum states with group action
• Single-shot Distinguishability and Anti-distinguishability of Quantum Measurements
• No epistemic model can explain anti-distinguishability of quantum mixed preparations
• On the Interpretation of Quantum Indistinguishability : a No-Go Theorem
• Quantum description of reality is epistemically incomplete

Related

• Limitation of maximally entangled probes for single-shot distinguishability of unitaries
• Single-shot Distinguishability and Anti-distinguishability of Quantum Measurements
• Single-shot antidistinguishability of unitary operations
• Local unambiguous unidentifiability, entanglement generation, and Hilbert space splitting
• Distinguishing unentangled states with an unentangled measurement