Quantum State Discrimination: Telling States Apart
How to tell quantum states apart: minimum-error and unambiguous discrimination, the Helstrom bound, tomography and experimental implementations.
Entropy, channel capacity, teleportation, complexity classes and the theorems that define what quantum information can and cannot do.
155 articlesHow to tell quantum states apart: minimum-error and unambiguous discrimination, the Helstrom bound, tomography and experimental implementations.
Quantum cellular automata apply local rules to a grid of qubits. Their principles, differences from classical automata, uses and implementation challenges.
Quantum state tomography reconstructs an unknown quantum state from many measurements. The methods, maximum likelihood estimation and its costs.
Quantum multi-prover interactive proofs let a verifier check provers who share entanglement. Their complexity, security aspects and known results.
Schumacher’s theorem sets the limit for compressing quantum information, just as Shannon’s does for classical data. How quantum compression works.
How quantum methods might speed up interpolation of multivariate polynomials, the circuits involved and possible uses in cryptography and machine learning.
Quantum teleportation transfers a quantum state, not matter, and needs a classical signal, so nothing travels faster than light. How it works and is used.
Quantum information science explained: qubits, gates and circuits, algorithms, cryptography, communication, sensing, simulation and machine learning.
Quantum entanglement explained without jargon: its history, Einstein’s objections, Bell’s theorem, key experiments and uses in computing and cryptography.
Why entanglement cannot send information faster than light, and how it is still used in quantum key distribution, teleportation and quantum networks.
From the EPR paradox and Bell’s inequality to loophole-free tests: the experiments that confirmed entanglement and ruled out local hidden variables.