Hidden Quantum Correlations in Single Qudit Systems
Margarita A. Man'ko, Vladimir I. Man'ko
TL;DR
This paper introduces the concept of hidden quantum correlations in single qudit systems, exploring their mathematical structure and providing examples in four-dimensional Hilbert spaces.
Contribution
It develops a framework for hidden quantum correlations in single qudits, extending classical correlation concepts to quantum states and observables.
Findings
Defined hidden quantum correlations in single qudit systems
Developed mathematical models for these correlations
Provided examples with quantum roulette and compass
Abstract
We introduce the notion of hidden quantum correlations. We present the mean values of observables depending on one classical random variable described by the probability distribution in the form of correlation functions of two (three, etc.) random variables described by the corresponding joint probability distributions. We develop analogous constructions for the density matrices of quantum states and quantum observables. We consider examples of four-dimensional Hilbert space corresponding to the "quantum roulette" and "quantum compass."
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsQuantum Computing Algorithms and Architecture · Quantum Information and Cryptography · Quantum Mechanics and Applications