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Nonadiabatic holonomic quantum computation~(NHQC) provides an essential way to construct robust and high-fidelity quantum gates due to its geometric features. However, NHQC is more sensitive to the decay and dephasing errors than…

量子物理 · 物理学 2023-03-10 Bao-Jie Liu , Lei-Lei Yan , Yuan Zhang , Man-Hong Yung , Erjun Liang , Shi-Lei Su , Chong-Xin Shan

The past few years have witnessed the concrete and fast spreading of quantum technologies for practical computation and simulation. In particular, quantum computing platforms based on either trapped ions or superconducting qubits have…

量子物理 · 物理学 2020-04-21 Francesco Tacchino , Alessandro Chiesa , Stefano Carretta , Dario Gerace

Qubits are the fundamental building blocks of quantum information science and applications, whose concept is widely utilized in both quantum physics and quantum computation. While the significance of qubits and their implementation in…

量子物理 · 物理学 2024-04-22 Chenxu Liu , Samuel A. Stein , Muqing Zheng , James Ang , Ang Li

We propose a mathematical structure, based on a noncommutative geometry, which combines essential aspects of general relativity and quantum mechanics, and leads to correct "limiting cases" of both these theories. We quantize a groupoid…

广义相对论与量子宇宙学 · 物理学 2009-10-30 M. Heller , W. Sasin

Quantum circuit synthesis and compilation are critical components in the quantum computing stack, both for contemporary quantum systems, where efficient use of limited resources is essential, as well as for large-scale fault-tolerant…

量子物理 · 物理学 2025-10-21 Jonathan Nemirovsky , Maya Chuchem , Lee Peleg , Yakov Solomons , Amit Ben Kish , Yotam Shapira

Lattice gauge theories in varying dimensions, lattice volumes, and truncations offer a rich family of targets for Hamiltonian simulation on quantum devices. In return, formulating quantum simulations can provide new ways of thinking about…

This paper sets up a perturbative treatment of the evolving quantum state of a gravitational system, in a Schr\"odinger-like picture, working about a general background. This connects gauge symmetry, the constraints, gravitational dressing,…

高能物理 - 理论 · 物理学 2024-07-18 Steven B. Giddings , Julie Perkins

The non-adiabatic holonomic quantum computation with the advantages of fast and robustness attracts widespread attention in recent years. Here, we propose the first scheme for realizing universal single-qubit gates based on an…

In the holonomic approach to quantum computation information is encoded in a degenerate eigenspace of a parametric family of Hamiltonians and manipulated by the associated holonomic gates. These are realized in terms of the non-abelian…

量子物理 · 物理学 2009-10-31 Jiannis Pachos , Paolo Zanardi , Mario Rasetti

Hybrid quantum systems combine the unique advantages of different physical platforms with the goal of realizing more powerful and practical quantum information processing devices. Mechanical systems, such as bulk acoustic wave resonators,…

Non-unitary operations generated by an effective non-Hermitian Hamiltonian can be used to create quantum state manipulations which are impossible in Hermitian quantum mechanics. These operations include state preparation (or cooling) and…

量子物理 · 物理学 2014-04-25 Raam Uzdin

When the environmental disturbace to a quantum system has a wavelength much larger than the system size, all qubits localized within a small area are under action of the same error operators. Noiseless subsystem and decoherence free…

量子物理 · 物理学 2013-05-29 Chi-Kwong Li , Mikio Nakahara , Yiu-Tung Poon , Nung-Sing Sze , Hiroyuki Tomita

Quantum computing is emerging as a new computational paradigm with the potential to transform several research fields, including quantum chemistry. However, current hardware limitations (including limited coherence times, gate infidelities,…

Quantum computation can be achieved by preparing an appropriate initial product state of qudits and then letting it evolve under a fixed Hamiltonian. The readout is made by measurement on individual qudits at some later time. This approach…

量子物理 · 物理学 2015-12-22 Tzu-Chieh Wei , John C. Liang

We analyze the possibility and efficiency of non-holonomic control over quantum devices with exponentially large number of Hilbert space dimensions. We show that completely controllable devices of this type can be assembled from elementary…

量子物理 · 物理学 2009-11-06 V. M. Akulin , V. Gershkovich , G. Harel

Recent advances in quantum technology have led to the development and manufacturing of experimental programmable quantum annealers that promise to solve certain combinatorial optimization problems of practical relevance faster than their…

量子物理 · 物理学 2016-05-31 Itay Hen , Federico M. Spedalieri

Preparing the ground state of a local Hamiltonian is a crucial problem in understanding quantum many-body systems, with applications in a variety of physics fields and connections to combinatorial optimization. While various quantum…

量子物理 · 物理学 2025-02-06 Benjamin F. Schiffer , Jordi Tura

Adiabatic quantum computation starts from embedding a computational problem into a Hamiltonian whose ground state encodes the solution to the problem. This problem Hamiltonian, $H_{\rm p}$, is normally chosen to be diagonal in the…

量子物理 · 物理学 2020-03-05 Oleg Lychkovskiy

Quantum manipulation based on geometric phases provides a promising way towards robust quantum gates. However, in the current implementation of nonadiabatic geometric phases, operational and/or random errors tend to destruct the conditions…

量子物理 · 物理学 2021-03-17 Jian Zhou , Sai Li , Guo-Zhu Pan , Gang Zhang , Tao Chen , Zheng-Yuan Xue

Trying to connect a fundamentally non-commutative spacetime with the conservative perturbative approach to quantum gravity, we are led to the natural question: are non-commutative geometrical effects already present in the regime where…

广义相对论与量子宇宙学 · 物理学 2023-04-20 Markus Fröb , Albert Much , Kyriakos Papadopoulos