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Quantum state preparation is an important subroutine in many quantum algorithms. The goal is to encode classical information directly to the quantum state so that it is possible to leverage quantum algorithms for data processing. However,…

量子物理 · 物理学 2026-05-01 Oskari Kerppo , William Steadman , Ossi Niemimäki , Valtteri Lahtinen

We develop a recursive algorithm to generalize the quantum SWAP test for an arbitrary number $m$ of quantum states requiring $O(m)$ controlled-swap (CSWAP) gates and $O(\log m)$ ancillary qubits. We construct a quantum circuit able to…

量子物理 · 物理学 2021-10-27 Xavier Gitiaux , Ian Morris , Maria Emelianenko , Mingzhen Tian

We report on the implementation of arbitrary circuits on a universal two-qubit register that can act as the computational module in a trapped-ion quantum computer based on the quantum charge-coupled device architecture. A universal set of…

量子物理 · 物理学 2024-07-08 N. Pulido-Mateo , H. Mendpara , M. Duwe , T. Dubielzig , G. Zarantonello , L. Krinner , C. Ospelkaus

We consider a quantum circuit in which shift and rotation operations on qubits are performed by swap gates and controlled swap gates. These operations can be useful for quantum computers performing elementary arithmetic operations such as…

量子物理 · 物理学 2007-05-23 Jae-weon Lee , Eok Kyun Lee , Jaewan Kim , Soonchil Lee

As one of the most intriguing intrinsic properties of quantum world, quantum superposition provokes great interests in its own generation. Oszmaniec [Phys. Rev. Lett. 116, 110403 (2016)] have proven that though a universal quantum machine…

Quantum state preparation is a crucial process within numerous quantum algorithms, and the need for efficient initialization of quantum registers is ever increasing as demand for useful quantum computing grows. The problem arises as the…

量子物理 · 物理学 2024-09-11 Andrew Wright , Marco Lewis , Paolo Zuliani , Sadegh Soudjani

An implementation of a universal solid-state quantum register based on electron space states in field-defined double quantum dots (DQD possesses one electron in two adjacent tunnel bound dots) in an ultrathin semiconductor nanowire is…

介观与纳米尺度物理 · 物理学 2025-07-14 Vladimir Vyurkov , Leonid Fedichkin , Igor Semenikhin , Denis Drozhzhin , Konstantin Rudenko , Vladimir Lukichev

The creation complexity of a quantum state is the minimum number of elementary gates required to create it from a basic initial state. The creation complexity of quantum states is closely related to the complexity of quantum circuits, which…

量子物理 · 物理学 2022-02-11 Zixuan Hu , Sabre Kais

While quantum computers are capable of simulating many quantum systems efficiently, the simulation algorithms must begin with the preparation of an appropriate initial state. We present a method for generating physically relevant quantum…

量子物理 · 物理学 2009-05-29 Nicholas J. Ward , Ivan Kassal , Alán Aspuru-Guzik

In a previous paper [quant-ph/0408045] we described a quantum algorithm to prepare an arbitrary state of a quantum register with arbitrary fidelity. Here we present an alternative algorithm which uses a small number of quantum oracles…

量子物理 · 物理学 2009-11-10 Andrei N. Soklakov , Ruediger Schack

We describe and analyze a hybrid approach to scalable quantum computation based on an optically connected network of few-qubit quantum registers. We show that probabilistically connected five-qubit quantum registers suffice for…

量子物理 · 物理学 2013-02-26 L. Jiang , J. M. Taylor , A. S. Sørensen , M. D. Lukin

This paper presents an enhancement to Grover's search algorithm for instances where the number of items (or the size of the search problem) $N$ is not a power of 2. By employing an efficient algorithm for the preparation of uniform quantum…

量子物理 · 物理学 2025-06-06 Alok Shukla , Prakash Vedula

We develop an adaptive method for quantum state preparation that utilizes randomness as an essential component and that does not require classical optimization. Instead, a cost function is minimized to prepare a desired quantum state…

量子物理 · 物理学 2023-10-10 Alicia B. Magann , Sophia E. Economou , Christian Arenz

Using the properties of quantum superposition, we propose a quantum classification algorithm to efficiently perform multi-class classification tasks, where the training data are loaded into parameterized operators which are applied to the…

量子物理 · 物理学 2022-03-09 Anqi Zhang , Xiaoyun He , Shengmei Zhao

We consider decoherence of quantum registers, which consist of the qubits sited approximately periodically in space. The sites of the qubits are permitted to have a small random variance. We derive the explicit conditions under which the…

量子物理 · 物理学 2007-05-23 Lu-Ming Duan , Guang-Can Guo

A qubit, or quantum bit, is conventionally defined as "a physical system for storing information that is capable of existing in either of two quantum states or in a superposition of both". In this paper, we examine the simple question of…

量子物理 · 物理学 2026-03-19 Zhuoran Bao , Daniel F. V. James

We show how to construct quantum gate arrays that can be programmed to perform different unitary operations on a data register, depending on the input to some program register. It is shown that a universal quantum gate array - a gate array…

量子物理 · 物理学 2009-10-30 M. A. Nielsen , Isaac L. Chuang

We propose an efficient scheme for constructing arbitrary 2-D cluster states using probabilistic entangling quantum gates.In our scheme, the 2-D cluster state is constructed with star-like basic units generated from 1-D cluster chains.By…

量子物理 · 物理学 2007-05-23 Qing Chen , Jianhua Cheng , Ke-Lin Wang , Jiangfeng Du

We develop a representation of an n-qubit register that parameterizes its statevector as a series of nested entanglements. We show that the recursive substructure of this representation provides a natural framework for automating the…

量子物理 · 物理学 2025-02-06 Geoffrey L. Warner

We present a scheme for a self-testing quantum random number generator. Compared to the fully device-independent model, our scheme requires an extra natural assumption, namely that the mean energy per signal is bounded. The scheme is…