Quantum state discrimination

Can every set of three orthogonal maximally entangled pure states on \(\mathbb C^d\otimes\mathbb C^d\), for every integer \(d\geq4\), be distinguished exactly from one copy using unrestricted two-way local operations and classical communication (LOCC)?

• Quantum Metrology
• Quantum Resource Theory
• Quantum state discrimination
• Local operations and classical communication

Can Holevo–Schumacher–Westmoreland codebooks operating at every rate below their ensemble Holevo information be chosen so that their square-root, or pretty-good, measurements have uniform quantum implementations whose cost is polynomial in the blocklength and…

• Quantum Algorithm
• Quantum Communication
• Decoding algorithms
• Classical capacity
• Quantum state discrimination

Does the Ježek–Řeháček–Fiurášek (JRF) iteration, initialized by the uniform POVM, converge to a globally optimal minimum-error measurement for every finite ensemble containing mixed quantum states?

• Quantum Metrology
• Quantum state discrimination