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A universal quantum computer can be constructed using abelian anyons. Two qubit quantum logic gates such as controlled-NOT operations are performed using topological effects. Single-anyon operations such as hopping from site to site on a…

量子物理 · 物理学 2007-05-23 Seth Lloyd

Using a quantumlike description for light propagation in nonhomogeneous optical fibers, quantum information processing can be implemented by optical means. Quantum-like bits (qulbits) are associated to light modes in the optical fiber and…

量子物理 · 物理学 2009-11-07 M. A. Man'ko , V. I. Man'ko , R. Vilela Mendes

We present a quantum variational algorithm based on a novel circuit that generates all permutations that can be spanned by one- and two-qubits permutation gates. The construction of the circuits follows from group-theoretical results, most…

量子物理 · 物理学 2026-02-11 Dylan Laplace Mermoud , Andrea Simonetto , Sourour Elloumi

We consider interactions that generate a universal set of quantum gates on logical qubits encoded in a collective-dephasing-free subspace, and discuss their implementations with trapped ions. This allows for the removal of the by-far…

量子物理 · 物理学 2016-08-14 Leandro Aolita , Luiz Davidovich , Kihwan Kim , Hartmut Häffner

We present an architecture of QCPU(Quantum Central Processing Unit), based on the discrete quantum gate set, that can be programmed to approximate any n-qubit computation in a deterministic fashion. It can be built efficiently to implement…

量子物理 · 物理学 2009-11-07 Fei Xue , Zeng-Bing Chen , Mingjun Shi , Xianyi Zhou , Jiangfeng Du , Rongdian Han

We present a nonlocal construction of universal gates by means of holonomic (geometric) quantum teleportation. The effect of the errors from imperfect control of the classical parameters, the looping variation of which builds up holonomic…

量子物理 · 物理学 2009-11-06 Demosthenes Ellinas , Jiannis Pachos

We present a new graphical calculus that is sound and complete for a universal family of quantum circuits, which can be seen as the natural string-diagrammatic extension of the approximately (real-valued) universal family of Hadamard+CCZ…

量子物理 · 物理学 2019-01-30 Miriam Backens , Aleks Kissinger

A common starting point of traditional quantum algorithm design is the notion of a universal quantum computer with a scalable number of qubits. This convenient abstraction mirrors classical computations manipulating finite sets of symbols,…

量子物理 · 物理学 2026-03-30 Lukas Brenner , Libor Caha , Xavier Coiteux-Roy , Robert Koenig

We propose a universal quantum circuit design that can estimate any arbitrary one-dimensional periodic functions based on the corresponding Fourier expansion. The quantum circuit contains N-qubits to store the information on the different…

量子物理 · 物理学 2021-11-17 Junxu Li , Sabre Kais

We give quantum circuits that simulate an arbitrary two-qubit unitary operator up to global phase. For several quantum gate libraries we prove that gate counts are optimal in worst and average cases. Our lower and upper bounds compare…

量子物理 · 物理学 2013-05-29 Vivek V. Shende , Igor L. Markov , Stephen S. Bullock

Among the many proposals for the realization of a quantum computer, holonomic quantum computation (HQC) is distinguished from the rest in that it is geometrical in nature and thus expected to be robust against decoherence. Here we analyze…

量子物理 · 物理学 2009-11-07 Antti O. Niskanen , Mikio Nakahara , Martti M. Salomaa

According to the statistical interpretation of quantum theory, quantum computers form a distinguished class of probabilistic machines (PMs) by encoding n qubits in 2n pbits (random binary variables). This raises the possibility of a…

量子物理 · 物理学 2007-05-23 P. Gralewicz

We show how to control and perform universal three-qubit quantum computation with trapped electron quantum states. The three qubits are the electron spin, and the first two quantum states of the cyclotron and axial harmonic oscillators. We…

量子物理 · 物理学 2008-02-20 L. H. Pedersen , C. Rangan

We construct a simple translationally invariant, nearest-neighbor Hamiltonian on a chain of 10-dimensional qudits that makes it possible to realize universal quantum computing without any external control during the computational process.…

量子物理 · 物理学 2009-11-13 Daniel Nagaj , Pawel Wocjan

We propose a hybrid quantum computing scheme where qubit degrees of freedom for computation are combined with quantum continuous variables for communication. In particular, universal two-qubit gates can be implemented deterministically…

The implementation of holonomic quantum computation is meaningful. We can effectively resist local and collective noise in the process of physical implementation by using the advantage of non-Abelian geometric phase. In this paper, we set…

量子物理 · 物理学 2025-05-06 Yong-Sen Chen , Jing Gao , Li-Na Ji

We generalize the binary quantum counting algorithm of Lesovik, Suslov, and Blatter [Phys. Rev. A 82, 012316 (2010)] to higher counting bases. The algorithm makes use of qubits, qutrits, and qudits to count numbers in a base 2, base 3, or…

介观与纳米尺度物理 · 物理学 2013-05-29 M. V. Suslov , G. B. Lesovik , G. Blatter

The ability to simulate one Hamiltonian with another is an important primitive in quantum information processing. In this paper, a simulation method for arbitrary $\sigma_z \otimes \sigma_z$ interaction based on Hadamard matrices…

量子物理 · 物理学 2009-11-07 D. W. Leung

We propose a quantum analogue of Bluestein's algorithm (QBA) that implements an exact $N$-point Quantum Fourier Transform (QFT) for arbitrary $N$. Our construction factors the $N$-dimensional QFT unitary into three diagonal quadratic-phase…

量子物理 · 物理学 2025-12-24 Nan-Hong Kuo , Renata Wong

It has been shown that non-stabilizer eigenstates of permutation gates are appropriate for allowing $d$-dimensional universal quantum computing (uqc) based on minimal informationally complete POVMs. The relevant quantum gates may be built…

几何拓扑 · 数学 2019-02-20 Michel Planat , Raymond Aschheim , Marcelo M. Amaral , Klee Irwin