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Semiconductor quantum dots, as promising solid-state platform, have exhibited deterministic photon pair generation with high polarization entanglement f\textcompwordmark idelity for quantum information applications. However, due to temporal…

We find the conditions under which a quantum regression theorem can be assumed valid for non-Markovian master equations consisting in Lindblad superoperators with memory kernels. Our considerations are based on a generalized Born-Markov…

Quantum Physics · Physics 2008-03-18 Adrian A. Budini

The time-dependent pair correlation functions for a degenerate ideal quantum gas of charged particles in a uniform magnetic field are studied on the basis of equilibrium statistics. In particular, the influence of a flat hard wall on the…

Condensed Matter · Physics 2018-08-16 L. G. Suttorp

We consider the role of quantum correlations in the efficient use of information by a predictive quantum system, generalizing a recently proposed classical measure of non-predictive information to the quantum regime. We show that, as a…

Quantum Physics · Physics 2014-08-27 Arne L. Grimsmo

Digital quantum simulation relies on Trotterization to discretize time evolution into elementary quantum gates. On current quantum processors with notable gate imperfections, there is a critical tradeoff between improved accuracy for finer…

Quantum Physics · Physics 2024-07-09 Hongzheng Zhao , Marin Bukov , Markus Heyl , Roderich Moessner

In this paper we prove a rate of convergence for the continuous time filtering solution of a multiple timescale correlated nonlinear system to a lower dimensional filtering equation in the limit of large timescale separation. Correlation is…

Probability · Mathematics 2022-01-19 Ryne Beeson , N. Sri Namachchivaya , Nicolas Perkowski

Motivated by electricity consumption metering, we extend existing nonnegative matrix factorization (NMF) algorithms to use linear measurements as observations, instead of matrix entries. The objective is to estimate multiple time series at…

Machine Learning · Statistics 2016-10-06 Jiali Mei , Yohann De Castro , Yannig Goude , Georges Hébrail

We propose a class of metrological resource states whose quantum Fisher information scales optimally in both system size and noise rate. In these states, qubits are partitioned into sensing groups with relatively large correlations within a…

Quantum Physics · Physics 2026-04-01 Chao Yin , Victor V. Albert , Sisi Zhou

Out-of-time-ordered correlation functions (OTOCs) play a crucial role in the study of thermalization, entanglement, and quantum chaos, as they quantify the scrambling of quantum information due to complex interactions. As a consequence of…

We develop a new algorithm based on the time-dependent variational principle applied to matrix product states to efficiently simulate the real- and imaginary time dynamics for infinite one-dimensional quantum lattice systems. This…

Strongly Correlated Electrons · Physics 2012-03-13 Jutho Haegeman , J. Ignacio Cirac , Tobias J. Osborne , Iztok Pizorn , Henri Verschelde , Frank Verstraete

In the case of the discrete time coined quantum walk the reduced dynamics of the coin shows non-Markovian recurrence features due to information back-flow from the position degree of freedom. Here we study how this non-Markovian behavior is…

Every clock is a physical system and thereby ultimately quantum. A naturally arising question is how to describe time evolution relative to quantum clocks and, specifically, how the dynamics relative to different quantum clocks are related.…

General Relativity and Quantum Cosmology · Physics 2021-01-05 Philipp A Hoehn , Augustin Vanrietvelde

Circuit quantization links a physical circuit to its corresponding quantum Hamiltonian. The standard quantization procedure generally assumes any external magnetic flux to be static. Time dependence naturally arises, however, when flux is…

Quantum Physics · Physics 2019-05-23 Xinyuan You , J. A. Sauls , Jens Koch

This thesis is devoted to the study of quantum mechanical effects that arise in systems of reduced dimensionality. Specifically, we investigate coherence and correlation effects in quantum transport models. In the first part, we present a…

Mesoscale and Nanoscale Physics · Physics 2012-03-12 David Marcos

Many theories of quantum gravity can be understood as imposing a minimum length scale the signatures of which can potentially be seen in precise table top experiments. In this work we inspect the capacity for correlated many body systems to…

Quantum Physics · Physics 2022-11-11 Hadrien Chevalier , Hyukjoon Kwon , Kiran E. Khosla , Igor Pikovski , M. S. Kim

We develop a non-Markovian full counting statistics formalism taking into account both the sequential tunneling and cotunneling based on the exact particle number resolved time-convolutionless master equation and the…

Mesoscale and Nanoscale Physics · Physics 2017-11-17 Hai-Bin Xue , Jiu-Qing Liang , Wu-Ming Liu

A central problem in open quantum systems is the characterization of non-Markovian processes, where an environment retains the memory of its interaction with the system. A key distinction is whether or not this memory can be simulated…

We adopt the concept of the correlation matrix to study correlations among sequences of time-extended events occuring repeatedly at consecutive time-intervals. As an application we analyse the magnetoencephalography recordings obtained from…

Statistical Mechanics · Physics 2009-10-31 J. Kwapien , S. Drozdz , A. A. Ioannides

We investigate the intricate dynamics of quantum coherence and non-classical correlations in a two-qubit open quantum system coupled to a squeezed thermal reservoir. By exploring the correlations between spatially separated qubits, we…

Quantum Physics · Physics 2026-02-24 Neha Pathania , Ramniwas Meena , Subhashish Banerjee

Fluctuations of the qubit frequencies are one of the major problems to overcome on the way to scalable quantum computers. Of particular importance are fluctuations with the correlation time that exceeds the decoherence time due to decay and…

Quantum Physics · Physics 2024-01-23 Filip Wudarski , Yaxing Zhang , Alexander Korotkov , A. G. Petukhov , M. I. Dykman
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