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We propose quantum-mechanical systems in which the number of spatial dimensions is promoted to a dynamical quantum variable, making the effective dimension state-dependent. Interestingly, systems of this form can exhibit enhanced symmetries…

量子物理 · 物理学 2026-01-16 Mikołaj Myszkowski , Mattia Damia Paciarini , Francesco Sannino

As an extension of two-level quantum bits (qubits), multilevel systems, so-called qudits, where d represents the Hilbert space dimension, have been predicted to reduce the number of iterations in quantum computation algorithms. This has…

The main objective of quantum simulation is an in-depth understanding of many-body physics. It is important for fundamental issues (quantum phase transitions, transport, . . . ) and for the development of innovative materials. Analytic…

Universal quantum information processing requires single-qubit rotations and two-qubit interactions as minimal resources. A possible step beyond this minimal scheme is the use of three-qubit interactions. We consider such three-qubit…

量子物理 · 物理学 2007-05-23 Jingfu Zhang , Xinhua Peng , Dieter Suter

We explore reachable sets of open $n$-qubit quantum systems, the coherent parts of which are under full unitary control and that have just one qubit whose Markovian noise amplitude can be modulated in time such as to provide an additional…

量子物理 · 物理学 2015-03-20 V. Bergholm , T. Schulte-Herbrueggen

In this article, we give a complete characterization of all the unitary transformations that can be synthesized in a given time for a system of coupled spin-1/2 in presence of general time varying coupling tensor. Our treatment is quite…

量子物理 · 物理学 2010-04-26 Haidong Yuan , Navin Khaneja

Within the reduced basis methods approach, an effective low-dimensional subspace of a quantum many-body Hilbert space is constructed in order to investigate, e.g., the ground-state phase diagram. The basis of this subspace is built from…

量子物理 · 物理学 2023-08-31 Paul Brehmer , Michael F. Herbst , Stefan Wessel , Matteo Rizzi , Benjamin Stamm

This work discusses quantum states defined in a finite-dimensional Hilbert space. In particular, after the presentation of some of them and their basic properties the work concentrates on the group of the quantum optical models that can be…

量子物理 · 物理学 2013-12-03 W. Leoński , A. Kowalewska-Kudłaszyk

We present a general algorithm, based on machine learning, which can create optimal unitary operators to implement quantum teleportation in any system with well-defined set of measurements in a relevant entangled basis. We illustrate it…

量子物理 · 物理学 2025-11-25 Allison Brattley , Tomas Opatrny , Kunal K. Das

Quantum computers will work by evolving a high tensor power of a small (e.g. two) dimensional Hilbert space by local gates, which can be implemented by applying a local Hamiltonian H for a time t. In contrast to this quantum engineering,…

量子物理 · 物理学 2009-11-06 Michael H. Freedman , Alexei Kitaev , Zhenghan Wang

Quantum state diffusion (QSD) as a tool to solve quantum-optical master equations by stochastic simulation can be made several orders of magnitude more efficient if states in Hilbert space are represented in a moving basis of excited…

atom-ph · 物理学 2009-10-28 R. Schack , T. A. Brun , I. C. Percival

Quantum computation can proceed solely through single-qubit measurements on an appropriate quantum state, such as the ground state of an interacting many-body system. We investigate a simple spin-lattice system based on the cluster-state…

量子物理 · 物理学 2009-07-16 Andrew C. Doherty , Stephen D. Bartlett

It is well-known that any two pure quantum states (in the same Hilbert space) can be mapped to any other using unitary transformations. However, previous approaches to this problem required two explicit bases for the Hilbert space, one each…

量子物理 · 物理学 2026-04-20 Peter T. J. Bradshaw , Marcus Gouveia , Jonte R. Hance

We show that for any Hilbert-space dimension, the optimal universal quantum cloner can be constructed from essentially the same quantum circuit, i.e., we find a universal design for universal cloners. In the case of infinite dimensions…

量子物理 · 物理学 2009-11-06 Samuel L. Braunstein , Vladimir Buzek , Mark Hillery

In quantum many-body problems, one of the main difficulties comes from the description of non-negligible interactions which require, at least in principle, an exponential amount of information. Recently, in the context of spin glasses and…

计算物理 · 物理学 2019-02-25 Jean Michel Sellier

Inter-qubit coupling and qubit connectivity in a processor are crucial for achieving high fidelity multi-qubit gates and efficient implementation of quantum algorithms. Typical superconducting processors employ relatively weak transverse…

量子物理 · 物理学 2018-11-21 Tanay Roy , Madhavi Chand , Anirban Bhattacharjee , Sumeru Hazra , Suman Kundu , Kedar Damle , R. Vijay

Exchange-coupled singlet-triplet spin qubits in two gate-defined double quantum dots are considered theoretically. Using charge density operators to describe the double-dot orbital states, we calculate the Coulomb couplings between the…

介观与纳米尺度物理 · 物理学 2015-05-28 Guy Ramon

A bipartite spin system is proposed for which a fast transfer from one defined state into another exists. For sufficient coupling between the spins, this implements a bit-flipping mechanism which is much faster than that induced by…

量子物理 · 物理学 2023-10-17 Maximilian F. I. Kieler , Arnd Bäcker

In this paper, we propose a novel quantum multiple access technique based on optical coherent states. The information of several coherent state optical qubits is combined into a single qudit, which is the superposition of almost orthogonal…

量子物理 · 物理学 2009-07-28 Juan Carlos Garcia-Escartin , Pedro Chamorro-Posada

Current quantum simulators are primarily qubit-based, making them naturally suitable for simulating 2-level quantum systems. However, many systems in nature are inherently $d$-level, including higher spins, bosons, vibrational modes, and…

量子物理 · 物理学 2024-06-26 Chufan Lyu , Zuoheng Zou , Xusheng Xu , Man-Hong Yung , Abolfazl Bayat
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