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Simulating the dynamics and the non-equilibrium steady state of an open quantum system are hard computational tasks on conventional computers. For the simulation of the time evolution, several efficient quantum algorithms have recently been…

量子物理 · 物理学 2021-02-24 Nathan Ramusat , Vincenzo Savona

Measuring the state of quantum computers is a highly non-trivial task, with implications for virtually all quantum algorithms. We propose a novel scheme where identical copies of a quantum state are measured jointly so that all Pauli…

量子物理 · 物理学 2025-09-03 Rick P. A. Simon , Zheng Shi , Charlie Nation , Andrew Jena , Luca Dellantonio

Properly designed control has been shown to be particularly advantageous for improving AQC accuracy and time complexity scaling. Here, an \emph{in situ} quantum control optimization protocol is developed to indirectly optimize state…

量子物理 · 物理学 2019-06-12 Gregory Quiroz

We consider the problem of designing an optimal quantum detector with a fixed rate of inconclusive results that maximizes the probability of correct detection, when distinguishing between a collection of mixed quantum states. We develop a…

量子物理 · 物理学 2009-11-07 Yonina C. Eldar

Accurate control of quantum states is crucial for quantum computing and other quantum technologies. In the basic scenario, the task is to steer a quantum system towards a target state through a sequence of control operations. Determining…

量子物理 · 物理学 2024-06-14 Yan Zhu , Tailong Xiao , Guihua Zeng , Giulio Chiribella , Ya-Dong Wu

Distributed control algorithms are known to reduce overall computation time compared to centralized control algorithms. However, they can result in inconsistent solutions leading to the violation of safety-critical constraints. Inconsistent…

系统与控制 · 电气工程与系统科学 2024-11-26 Julius Beerwerth , Maximilian Kloock , Bassam Alrifaee

Quantum dynamical simulations of statistical ensembles pose a significant computational challenge due to the fact that mixed states need to be represented. If the underlying dynamics is fully unitary, for example in ultrafast coherent…

量子物理 · 物理学 2019-11-07 Marec W. Heger , Christiane P. Koch , Daniel M. Reich

We present a probabilistic quantum algorithm for preparing mixed states which, in expectation, are proportional to the solutions of Lyapunov equations -- linear matrix equations ubiquitous in the analysis of classical and quantum dynamical…

量子物理 · 物理学 2026-04-20 Marcello Benedetti , Ansis Rosmanis , Matthias Rosenkranz

To mitigate dissipative effects from environmental interactions and efficiently stabilize quantum states, time-optimal control has emerged as an effective strategy for open quantum systems. This paper extends the framework by incorporating…

量子物理 · 物理学 2025-08-25 Yunyan Lee , Ian R. Petersen , Daoyi Dong

Algorithms based on non-unitary evolution have attracted much interest for ground state preparation on quantum computers. One recently proposed method makes use of ancilla qubits and controlled unitary operators to implement weak…

量子物理 · 物理学 2025-12-25 Tobias Stollenwerk , Stuart Hadfield

Many problems in quantum information theory can be formulated as optimizations over the sequential outcomes of dynamical systems subject to unpredictable external influences. Such problems include many-body entanglement detection through…

量子物理 · 物理学 2024-06-07 Mirjam Weilenmann , Costantino Budroni , Miguel Navascues

We present an approach to compute time-optimal control of a quantum system which combines quantum brachistochrone and Lax pair techniques and enables efficient investigation of large-scale quantum systems. We illustrate our method by…

量子物理 · 物理学 2025-11-17 Andrei A. Stepanenko , Kseniia S. Chernova , Maxim A. Gorlach

We discuss a model for quantum computing with initially mixed states. Although such a computer is known to be less powerful than a quantum computer operating with pure (entangled) states, it may efficiently solve some problems for which no…

量子物理 · 物理学 2015-03-17 Michael Siomau , Stephan Fritzsche

Achieving high-fidelity control of quantum systems is of fundamental importance in physics, chemistry and quantum information sciences. However, the successful implementation of a high-fidelity quantum control scheme also requires…

量子物理 · 物理学 2018-06-05 Yu Guo , Daoyi Dong , Chuan-Cun Shu

In this paper we investigate the limits of control for mixed-state quantum systems. The constraint of unitary evolution for non-dissipative quantum systems imposes kinematical bounds on the optimization of arbitrary observables. We…

量子物理 · 物理学 2009-02-05 S. G. Schirmer , J. V. Leahy

In this paper we formulate a risk-sensitive optimal control problem for continuously monitored open quantum systems modelled by quantum Langevin equations. The optimal controller is expressed in terms of a modified conditional state, which…

量子物理 · 物理学 2016-09-08 M. R. James

We investigate optimal control strategies for state to state transitions in a model of a quantum dot molecule containing two active strongly interacting electrons. The Schrodinger equation is solved nonperturbatively in conjunction with…

量子物理 · 物理学 2016-08-14 R. Nepstad , L. Sælen , I. Degani , J. P. Hansen

How to achieve an arbitrary real-valued probability amplitude in the general single-partite or multipartite quantum system without measuring any other quantum state's probability amplitude? How to achieve an arbitrary real-valued…

量子物理 · 物理学 2020-09-01 Xu Guanlei

We extend the concept of probabilistic unambiguous discrimination of quantum states to quantum state estimation. We consider a scenario where the measurement device can output either an estimate of the unknown input state or an inconclusive…

量子物理 · 物理学 2009-11-13 Jaromir Fiurasek

The task of learning a quantum circuit to prepare a given mixed state is a fundamental quantum subroutine. We present a variational quantum algorithm (VQA) to learn mixed states which is suitable for near-term hardware. Our algorithm…