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We propose a hybrid quantum-classical algorithm to compute approximate solutions of binary combinatorial problems. We employ a shallow-depth quantum circuit to implement a unitary and Hermitian operator that block-encodes the weighted…

量子物理 · 物理学 2023-06-16 Natacha Kuete Meli , Florian Mannel , Jan Lellmann

The exchange or geometric cluster algorithm allows us to define a variance reduced estimator of the connected two-point function in the presence of a broken Z_2-symmetry. We present first numerical tests for the improved Blume-Capel model…

统计力学 · 物理学 2016-03-30 Martin Hasenbusch

We present a novel scheme for universal quantum computation based on spinless interacting bosonic quantum walkers on a piecewise-constant graph, described by the two-dimensional Bose-Hubbard model. Arbitrary X and Z rotations are…

量子物理 · 物理学 2012-05-23 Michael S. Underwood , David L. Feder

We used mean-field theory based on the Bogoliubov inequality for the Gibbs free energy to examine the magnetic properties of a mixed spin-5/2 and spin-7/2 Blume-Capel ferrimagnetic system. The thermal behaviours of the system magnetization…

统计力学 · 物理学 2019-10-03 M. Karimou , R. A. Yessoufou , G. Dimitri Ngantso , F. Hontinfinde , E. Albayrak

We propose a platform for braiding Majorana non-Abelian anyons based on a heterostructure between a $d$-wave high-$T_c$ superconductor and a quantum spin-Hall insulator. It has been recently shown that such a setup for a quantum spin-Hall…

介观与纳米尺度物理 · 物理学 2021-07-30 Matthew F. Lapa , Meng Cheng , Yuxuan Wang

Finding the ground state of spin glasses is a challenging problem with broad implications. Many hard optimization problems, including NP-complete problems, can be mapped, for instance, to the Ising spin glass model. We present a graph-based…

无序系统与神经网络 · 物理学 2025-05-05 Seyed Ehsan Ghasempouri , Gerhard W. Dueck , Stijn De Baerdemacker

We propose an all optical quantum computation scheme, with trapped electron spin qubits, using their Coulomb exchange interaction with optically excited microcavity exciton-polaritons. This paper describes a single qubit rotation, which…

量子物理 · 物理学 2012-08-13 Shruti Puri , Na Young Kim , Eisuke Abe , Yoshihisa Yamamoto

Skyrmions in frustrated magnets have the helicity degree of freedom, where two different configurations of Bloch-type skyrmions are energetically favored by the magnetic dipole-dipole interaction and characterized by opposite helicities. A…

介观与纳米尺度物理 · 物理学 2023-03-10 Jing Xia , Xichao Zhang , Xiaoxi Liu , Yan Zhou , Motohiko Ezawa

The scaling of the entanglement entropy at a quantum critical point allows us to extract universal properties of the state, e.g., the central charge of a conformal field theory. With the rapid improvement of noisy intermediate-scale quantum…

强关联电子 · 物理学 2022-08-24 Bernhard Jobst , Adam Smith , Frank Pollmann

We recently derived a spin-mapping approach for treating the nonadiabatic dynamics of a two-level system in a classical environment [J. Chem. Phys. 151, 044119 (2019)] based on the well-known quantum equivalence between a two-level system…

化学物理 · 物理学 2020-03-03 Johan E. Runeson , Jeremy O. Richardson

Coherently dressed spins have shown promising results as building blocks for future quantum computers owing to their resilience to environmental noise and their compatibility with global control fields. This mode of operation allows for…

We show that efficient quantum computation is possible using a disordered Heisenberg spin-chain with `always-on' couplings. Such disorder occurs naturally in nanofabricated systems. Considering a simple chain setup, we show that an…

量子物理 · 物理学 2007-05-23 Chiu Fan Lee , Neil F. Johnson

We solve the nonequilibrium dynamics of qubits or quantum spin chains (s=1/2) modeled by an anisotropic XY Hamiltonian, when the initial condition is prepared as a spatially inhomogeneous state of the magnetization. Infinite systems are…

介观与纳米尺度物理 · 物理学 2007-05-23 D. Tygel , J. G. Carvalho , G. G. Cabrera

Chains of magnetic atoms with either strong spin-orbit coupling or spiral magnetic order which are proximity-coupled to superconducting substrates can host topologically non-trivial Majorana bound states. The experimental signature of these…

Quantum information protected by the topology of the storage medium is expected to exhibit long coherence times. Another feature are topologically protected gates generated through braiding of Majorana bound states. However, braiding…

介观与纳米尺度物理 · 物理学 2017-01-16 Stephan Plugge , Asbjørn Rasmussen , Reinhold Egger , Karsten Flensberg

We investigate the interplay between nonreciprocal interactions and chemical-potential imbalance in a two-species nonreciprocal Blume-Capel model. Combining a systematic mean-field bifurcation analysis with large-scale Monte Carlo…

统计力学 · 物理学 2025-12-23 Arjun R , Pratyush Prakash Patra , A. V. Anil Kumar

We demonstrate universal quantum control over chains of ions in a surface-electrode ion trap, including all the fundamental operations necessary to perform algorithms in a one-dimensional, nearest-neighbor quantum computing architecture. We…

We present a modification of the Rose-Machta algorithm (Phys. Rev. E 100 (2019) 063304) and estimate the density of states for a two-dimensional Blume-Capel model, simulating $10^5$ replicas in parallel for each set of parameters. We…

统计力学 · 物理学 2024-10-21 Vyacheslav Mozolenko , Lev Shchur

We have developed methods for performing qudit quantum computation in the Jaynes-Cummings model with the qudits residing in a finite subspace of individual harmonic oscillator modes, resonantly coupled to a spin-1/2 system. The first method…

量子物理 · 物理学 2013-03-14 Brian Mischuck , Klaus Mølmer

In quantum spin systems obeying hyperscaling, the probability distribution of the total magnetization takes on a universal scaling form at criticality. We obtain this scaling function exactly for the ground state and first excited state of…

统计力学 · 物理学 2009-11-13 Austen Lamacraft , Paul Fendley