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Complete characterization of states and processes that occur within quantum devices is crucial for understanding and testing their potential to outperform classical technologies for communications and computing. However, solving this task…

量子物理 · 物理学 2020-05-07 E. S. Tiunov , V. V. Tiunova , A. E. Ulanov , A. I. Lvovsky , A. K. Fedorov

A quantum computer directly manipulates information stored in the state of quantum mechanical systems. The available operations have many attractive features but also underly severe restrictions, which complicate the design of quantum…

量子物理 · 物理学 2015-06-26 Sos S. Agaian , Andreas Klappenecker

Quantum optimal control represents a powerful technique to enhance the performance of quantum experiments by engineering the controllable parameters of the Hamiltonian. However, the computational overhead for the necessary optimization of…

Order dependencies (ODs) capture relationships between ordered domains of attributes. Approximate ODs (AODs) capture such relationships even when there exist exceptions in the data. During automated discovery of ODs, validation is the…

数据库 · 计算机科学 2021-01-07 Reza Karegar , Parke Godfrey , Lukasz Golab , Mehdi Kargar , Divesh Srivastava , Jaroslaw Szlichta

We propose an iterative algorithm to simulate the dynamics generated by any $n$-qubit Hamiltonian. The simulation entails decomposing the unitary time evolution operator $U$ (unitary) into a product of different time-step unitaries. The…

量子物理 · 物理学 2012-04-09 Ashok Ajoy , Rama Koteswara Rao , Anil Kumar , Pranaw Rungta

In recent years quantum simulation has made great strides culminating in experiments that operate in a regime that existing supercomputers cannot easily simulate. Although this raises the possibility that special purpose analog quantum…

量子物理 · 物理学 2014-05-21 Nathan Wiebe , Christopher Granade , Christopher Ferrie , D. G. Cory

The presented previously indirect optimization method (IOM) developed within biochemical systems theory (BST) provides a versatile and mathematically tractable optimization strategy for biochemical systems. However, due to the local…

定量方法 · 定量生物学 2007-06-13 Gongxian Xu , Cheng Shao , Zhilong Xiu

Efficient control of qubits plays a key role in quantum information processing. In the current work, an alternative set of differential equations are derived for an optimal quantum control of single or multiple qubits with or without…

量子物理 · 物理学 2020-11-26 Ding Wang , Haowei Shi , Yueheng Lan

Quantum computers have the potential to efficiently solve a system of nonlinear ordinary differential equations (ODEs), which play a crucial role in various industries and scientific fields. However, it remains unclear which system of…

量子物理 · 物理学 2025-04-07 Yu Tanaka , Keisuke Fujii

We describe a quantum algorithm for preparing states that encode solutions of non-homogeneous linear partial differential equations. The algorithm is a continuous-variable version of matrix inversion: it efficiently inverts differential…

量子物理 · 物理学 2019-09-11 Juan Miguel Arrazola , Timjan Kalajdzievski , Christian Weedbrook , Seth Lloyd

Out-of-Time Ordered Correlators (OTOCs) are widely used to investigate information scrambling in quantum systems. However, directly computing OTOCs with classical computers is an expensive procedure. This is due to the need to classically…

量子物理 · 物理学 2025-04-03 John Tanner , Jason Pye , Jingbo Wang

Quantum simulation has emerged as a key application of quantum computing, with significant progress made in algorithms for simulating both closed and open quantum systems. The simulation of open quantum systems, particularly those governed…

量子物理 · 物理学 2026-04-15 Evan Borras , Milad Marvian

We present a protocol to experimentally measure the infinite-temperature out-of-time-ordered correlation (OTOC) -- which is a probe of quantum information scrambling in a system -- for systems with a Hamiltonian which has either a chiral…

量子物理 · 物理学 2020-06-29 Bhuvanesh Sundar

Inverse optimal control (IOC) is about estimating an unknown objective of interest given its optimal control sequence. However, truly optimal demonstrations are often difficult to obtain, e.g., due to human errors or inaccurate…

系统与控制 · 电气工程与系统科学 2023-12-07 Rahel Rickenbach , Anna Scampicchio , Melanie N. Zeilinger

Optimization algorithms appear in the core calculations of numerous Artificial Intelligence (AI) and Machine Learning methods, as well as Engineering and Business applications. Following recent works on the theoretical deficiencies of AI, a…

最优化与控制 · 数学 2024-10-29 Nikolaos P. Bakas , Vagelis Plevris , Andreas Langousis , Savvas A. Chatzichristofis

An iterative orbital interaction (iOI) approach is proposed to solve, in a bottom-up fashion, the self-consistent field problem in quantum chemistry. While it belongs grossly to the family of fragment-based quantum chemical methods, iOI is…

化学物理 · 物理学 2021-05-04 Zikuan Wang , Wenjian Liu

We consider an on-line system identification setting, in which new data become available at given time steps. In order to meet real-time estimation requirements, we propose a tailored Bayesian system identification procedure, in which the…

系统与控制 · 计算机科学 2016-01-19 Diego Romeres , Giulia Prando , Gianluigi Pillonetto , Alessandro Chiuso

Existing algorithms for the optimal control of quantum observables are based on locally optimal steps in the space of control fields, or as in the case of genetic algorithms, operate on the basis of heuristics that do not explicitly take…

量子物理 · 物理学 2007-08-27 Raj Chakrabarti , Rebing Wu , Herschel Rabitz

We present a general framework for finding the time-optimal evolution and the optimal Hamiltonian for a quantum system with a given set of initial and final states. Our formulation is based on the variational principle and is analogous to…

量子物理 · 物理学 2007-05-23 Alberto Carlini , Akio Hosoya , Tatsuhiko Koike , Yosuke Okudaira

Mutual Information (MI) is a powerful statistical measure that quantifies shared information between random variables, particularly valuable in high-dimensional data analysis across fields like genomics, natural language processing, and…

机器学习 · 计算机科学 2024-12-02 Andre O. Falcao