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Broadcasting systems have to deal with channel variability in order to offer the best spectral efficiency to the receivers. However, the transmission parameters that maximise the spectral efficiency generally leads to a large link…

信息论 · 计算机科学 2014-01-17 Hugo Meric , Jose Miguel Piquer

Quantum control in large dimensional Hilbert spaces is essential for realizing the power of quantum information processing. For closed quantum systems the relevant input/output maps are unitary transformations, and the fundamental challenge…

量子物理 · 物理学 2014-10-17 B. E. Anderson , H. Sosa-Martinez , C. A. Riofrío , I. H. Deutsch , P. S. Jessen

We introduce the problem of unitarization. Unitarization is the problem of taking $k$ input quantum circuits that produce orthogonal states from the all $0$ state, and create an output circuit implementing a unitary with its first $k$…

量子物理 · 物理学 2021-09-15 Joshua Cook

The Quantum Fourier Transform (QFT) is a fundamental component of many quantum computing algorithms. In this paper, we present an alternative method for factoring this transformation. Inspired by this approach, we introduce a new quantum…

量子物理 · 物理学 2025-07-30 Juan M. Romero , Emiliano Montoya-González , Guillermo Cruz , Roberto C. Romero

Quantum computers leverage the principles of quantum mechanics to do computation with a potential advantage over classical computers. While a single classical computer transforms one particular binary input into an output after applying one…

新兴技术 · 计算机科学 2025-03-17 Francisco Chicano , Gabiel Luque , Zakaria Abdelmoiz Dahi , Rodrigo Gil-Merino

We address the problem of discriminating with minimal error probability two given quantum operations. We show that the use of entangled input states generally improves the discrimination. For Pauli channels we provide a complete comparison…

量子物理 · 物理学 2009-11-11 Massimiliano F. Sacchi

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealers that promise to solve certain combinatorial optimization problems of practical relevance faster than their…

量子物理 · 物理学 2016-05-31 Itay Hen , Federico M. Spedalieri

We study optimal perfect distinguishability between a unitary and a general quantum operation. In 2-dimensional case we provide a simple sufficient and necessary condition for sequential perfect distinguishability and an analytical formula…

量子物理 · 物理学 2010-10-13 Cheng Lu , Jianxin Chen , Runyao Duan

Quantum computing is emerging as a new computing resource that could be superior to conventional computing for certain classes of optimization problems. However, in principle, most existing approaches to quantum optimization are intended to…

最优化与控制 · 数学 2022-01-21 Chin-Yao Chang , Eric Jones , Yiyun Yao , Peter Graf , Rishabh Jain

Recently, the entanglement dynamics of two harmonic oscillators initially prepared in a separable-coherent state was demonstrated to offer a pathway for prime number identification. This article presents a generalized approach and outlines…

量子物理 · 物理学 2024-08-09 Victor F. dos Santos , Jonas Maziero

The problem of an optimal mapping between Hilbert spaces $IN$ of $\left|\psi\right\rangle$ and $OUT$ of $\left|\phi\right\rangle$ based on a set of wavefunction measurements (within a phase) $\psi_l \to \phi_l$, $l=1\dots M$, is formulated…

机器学习 · 计算机科学 2024-11-20 Mikhail Gennadievich Belov , Vladislav Gennadievich Malyshkin

Quantum annealing is a promising paradigm for building practical quantum computers. Compared to other approaches, quantum annealing technology has been scaled up to a larger number of qubits. On the other hand, deep learning has been…

量子物理 · 物理学 2021-07-07 Michele Sasdelli , Tat-Jun Chin

The preparation of quantum states, especially cooling, is a fundamental technology for nanoscale devices. The past decade has seen important results related to both the limits of state transformation and the limits to their efficiency --…

量子物理 · 物理学 2024-12-11 Ralph Silva , Pharnam Bakhshinezhad , Fabien Clivaz

Combinatorial optimization is considered a promising class of problems in which quantum computers can show significant advantages. However, problems of practical relevance typically have more variables than current or foreseeable quantum…

量子物理 · 物理学 2025-12-23 Mathias Schmid , Naeimeh Mohseni , Michael J. Hartmann

We explore the task of optimal quantum channel identification, and in particular the estimation of a general one parameter quantum process. We derive new characterizations of optimality and apply the results to several examples including…

量子物理 · 物理学 2009-11-10 Mohan Sarovar , G. J. Milburn

Efficient quantum circuit optimization schemes are central to quantum simulation of strongly interacting quantum many body systems. Here, we present an optimization algorithm which combines machine learning techniques and tensor network…

量子物理 · 物理学 2024-08-23 David Rogerson , Ananda Roy

We examine the stability versus different types of perturbations of recently proposed shortcuts-to-adiabaticity to speed up the population inversion of a two-level quantum system. We find optimally robust processes using invariant based…

量子物理 · 物理学 2013-10-30 A. Ruschhaupt , Xi Chen , D. Alonso , J. G. Muga

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

The exponential speedups promised by Hamiltonian simulation on a quantum computer depends crucially on structure in both the Hamiltonian $\hat{H}$, and the quantum circuit $\hat{U}$ that encodes its description. In the quest to better…

量子物理 · 物理学 2017-07-19 Guang Hao Low , Isaac L. Chuang

Quantum algorithm design usually assumes access to a perfect quantum computer with ideal properties like full connectivity, noise-freedom and arbitrarily long coherence time. In Noisy Intermediate-Scale Quantum (NISQ) devices, however, the…

量子物理 · 物理学 2020-09-11 Xiangzhen Zhou , Sanjiang Li , Yuan Feng