2011/08/31 by A. Montina, Alberto Montina · 1 citation
Computer Science · Mathematics · Physics and Astronomy · #Algorithm #Computer science #Law #Markov process #Master equation #Mathematics #Noise (video) #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum mechanics #Qubit #State (computer science) #Statistical physics #Time evolution #Unitary state #quant-ph
paper · pdf · doi:10.1103/physrevlett.108.160501
published as Phys. Rev. Lett. 108, 160501 (2012) · Minor changes. Added hyperlinks in the bibliography
arxiv created 2012/04/11 · openalex publication_date 2012/04/18 · arxiv updated 2012/04/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
So far it has been shown that the quantum dynamics cannot be described as a classical Markov process unless the number of classical states is uncountably infinite. In this Letter, we present a stochastic model with time-correlated noise that exactly reproduces any unitary evolution of a qubit and requires just four classical states. The invasive updating of only 1 bit during a measurement accounts for the quantum violation of the Leggett-Garg inequalities. Unlike in a pilot-wave theory, the stochastic forces governing the jumps among the four states do not depend on the quantum state but only on the unitary evolution. This model is used to derive a local hidden variable model, augmented by 1 bit of classical communication, for simulating entangled Bell states.