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Quantum error-correcting codes are constructed that embed a finite-dimensional code space in the infinite-dimensional Hilbert space of a system described by continuous quantum variables. These codes exploit the noncommutative geometry of…

量子物理 · 物理学 2008-12-18 Daniel Gottesman , Alexei Kitaev , John Preskill

Quantum computing promises to provide exponential speed-ups to certain classes of problems. In many such algorithms, a classical vector $\mathbf{b}$ is encoded in the amplitudes of a quantum state $\left |b \right >$. However, efficiently…

量子物理 · 物理学 2022-08-10 Prithvi Gundlapalli , Junyi Lee

Quantum information science strives to leverage the quantum-mechanical nature of our universe in order to achieve large improvements in certain information processing tasks. In deep-space optical communications, current receivers for the…

量子物理 · 物理学 2020-04-16 Narayanan Rengaswamy

We present an economical dynamical control scheme to perform quantum computation on a one dimensional optical lattice, where each atom encodes one qubit. The model is based on atom tunneling transitions between neighboring sites of the…

量子物理 · 物理学 2009-11-10 Jiannis Pachos , Peter L. Knight

We propose an effective realization of a complete set of elementary quantum gates in the solid-state quantum computer based on the multi-atomic coherent (MAC-) ensembles in the QED cavity. Here, we use the two-ensemble qubit encoding and…

量子物理 · 物理学 2011-11-15 Farid Ablayev , Sergey N. Andrianov , Alexander Vasiliev , Sergey A. Moiseev

High-dimensional photonic entanglement is a promising candidate for error-protected quantum information processing with improved capacity. Encoding high-dimensional qudits in the carrier frequency of photons combines ease of generation,…

In this paper we review a proposed geometrical formulation of quantum mechanics. We argue that this geometrization makes available mathematical methods from classical mechanics to the quantum frame work. We apply this formulation to the…

数学物理 · 物理学 2014-11-21 G. Marmo , G. F. Volkert

We propose a novel scheme of solid state realization of a quantum computer based on single spin "enhancement mode" quantum dots as building blocks. In the enhancement quantum dots, just one electron can be brought into initially empty dot,…

量子物理 · 物理学 2007-05-23 Y. B. Lyanda-Geller , M. J. Yang , C. H. Yang

For most algorithms dealing with sets of points in the plane, the only relevant information carried by the input is the combinatorial configuration of the points: the orientation of each triple of points in the set (clockwise,…

计算几何 · 计算机科学 2018-01-08 Jean Cardinal , Timothy M. Chan , John Iacono , Stefan Langerman , Aurélien Ooms

We introduce a high-dimensional quantum encoding based on coherent mode-dependent single-photon subtraction from multimode squeezed states. This encoding can be seen as a generalization to the case of non-zero squeezing of the standard…

量子物理 · 物理学 2019-03-06 Francesco Arzani , Alessandro Ferraro , Valentina Parigi

We analyze a new scheme for quantum information processing, with superconducting charge qubits coupled through a cavity mode, in which quantum manipulations are insensitive to the state of the cavity. We illustrate how to physically…

量子物理 · 物理学 2009-11-10 Shi-Liang Zhu , Z. D. Wang , Paolo Zanardi

We study a linear computation problem over a quantum multiple access channel (LC-QMAC), where $S$ servers share an entangled state and separately store classical data streams $W_1,\cdots, W_S$ over a finite field $\mathbb{F}_d$. A user aims…

信息论 · 计算机科学 2025-01-28 Lei Hu , Mohamed Nomeir , Alptug Aytekin , Yu Shi , Sennur Ulukus , Saikat Guha

Implementation of logical entangling gates is an important step towards realizing a quantum computer. We use a gradient-based optimization approach to find single-qubit rotations which can be interleaved between applications of a noisy…

量子物理 · 物理学 2018-06-28 Arman A. Setser , Michael H. Goerz , Jason P. Kestner

We revisit the question of universality in quantum computing and propose a new paradigm. Instead of forcing a physical system to enact a predetermined set of universal gates (e.g., single-qubit operations and CNOT), we focus on the…

量子物理 · 物理学 2016-09-08 D. Bacon , J. Kempe , D. P. DiVincenzo , D. A. Lidar , K. B. Whaley

Recent studies have demonstrated the effectiveness of position encoding in transformer architectures. By incorporating positional information, this approach provides essential guidance for modeling dependencies between elements across…

机器学习 · 计算机科学 2025-08-27 Avinash Amballa

Combinatorial optimization problems are considered to be an application, where quantum computing can have transformative impact. In the industrial context, job shop scheduling problems that aim at finding the optimal schedule for a set of…

量子物理 · 物理学 2025-02-12 Mathias Schmid , Sarah Braun , Rudolf Sollacher , Michael J. Hartmann

Owing to their rich internal structure and significant long-range interactions, ultracold molecules have been widely explored as carriers of quantum information. Several different schemes for encoding qubits into molecular states, both bare…

量子物理 · 物理学 2024-02-21 K. Asnaashari , R. V. Krems , T. V. Tscherbul

The author analyzes quantum computation with the hybrid qubit (HQ) that is encoded using the three-electron configuration of a double quantum dot. All gate operations are controlled with electric signals, while the qubit remains at an…

介观与纳米尺度物理 · 物理学 2015-07-14 Sebastian Mehl

Linear-Optical Passive (LOP) devices and photon counters are sufficient to implement universal quantum computation with single photons, and particular schemes have already been proposed. In this paper we discuss the link between the…

量子物理 · 物理学 2016-09-08 P. Aniello , R. Coen Cagli

Mixed discrete-continuous optimization is central to engineering design, where discrete choices interact with continuous fields. These problems are difficult due to high-dimensional, complex search spaces. To tackle them, Quantum Annealing…

计算工程、金融与科学 · 计算机科学 2026-03-19 Fabian Key , Lukas Freinberger , Mayu Muramatsu , Norbert Hosters