Measurement-induced steering of quantum systems

S Roy, JT Chalker, IV Gornyi, Y Gefen - Physical review research, 2020 - APS
We set out a general protocol for steering the state of a quantum system from an arbitrary
initial state toward a chosen target state by coupling it to auxiliary quantum degrees of …

Quantum zeno dynamics from general quantum operations

D Burgarth, P Facchi, H Nakazato, S Pascazio… - Quantum, 2020 - quantum-journal.org
We consider the evolution of an arbitrary quantum dynamical semigroup of a finite-
dimensional quantum system under frequent kicks, where each kick is a generic quantum …

Model reduction for quantum systems: Discrete-time quantum walks and open Markov dynamics

T Grigoletto, F Ticozzi - arxiv preprint arxiv:2307.06319, 2023 - arxiv.org
A general approach to obtain reduced models for a wide class of discrete-time quantum
systems is proposed. The obtained models not only reproduce exactly the output of a given …

Uncomputability and complexity of quantum control

DI Bondar, AN Pechen - Scientific Reports, 2020 - nature.com
In laboratory and numerical experiments, physical quantities are known with a finite
precision and described by rational numbers. Based on this, we deduce that quantum …

Locally optimal measurement-based quantum feedback with application to multiqubit entanglement generation

S Zhang, LS Martin, KB Whaley - Physical Review A, 2020 - APS
We present a general approach to measurement-based quantum feedback that employs
proportional and quantum state–(PaQS-) based feedback components to obtain locally …

Simulation of quantum walks and fast mixing with classical processes

S Apers, A Sarlette, F Ticozzi - Physical Review A, 2018 - APS
We compare discrete-time quantum walks on graphs to their natural classical equivalents,
which we argue are lifted Markov chains (LMCs), that is, classical Markov chains with added …

Dissipative encoding of quantum information

G Baggio, F Ticozzi, PD Johnson, L Viola - arxiv preprint arxiv …, 2021 - arxiv.org
We formalize the problem of dissipative quantum encoding, and explore the advantages of
using Markovian evolution to prepare a quantum code in the desired logical space, with …

Uniquely determined pure quantum states need not be unique ground states of quasi-local Hamiltonians

S Karuvade, PD Johnson, F Ticozzi, L Viola - Physical Review A, 2019 - APS
We consider the problem of characterizing states of a multipartite quantum system from
restricted, quasi-local information, with emphasis on uniquely determined pure states. By …

[BOOK][B] Quantum feedback for measurement and control

L Martin - 2019 - search.proquest.com
The standard quantum formalism introduced at the undergraduate level treats measurement
as an instantaneous collapse. In reality however, no physical process can occur over a truly …

A proposal of adaptive parameter tuning for robust stabilizing control of N–level quantum angular momentum systems

S Enami, K Ohki - 2021 60th IEEE Conference on Decision and …, 2021 - ieeexplore.ieee.org
Stabilizing control synthesis is one of the central subjects in control theory and engineering,
and it always has to deal with unavoidable uncertainties in practice. In this study, we …