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Many quantum algorithms, such as adiabatic algorithms (e.g. AQC) and phase randomisation, require simulating Hamiltonian evolution. In addition, the simulation of physical systems is an important objective in its own right. In many cases,…

量子物理 · 物理学 2025-03-04 Benoît Dubus , Joseph Cunningham , Jérémie Roland

We provide a theoretical scheme for realizing a Hadamard and a quantum controlled-NOT logic gates operations in the anti-Jaynes-Cummings interaction process. Standard Hadamard operation for a specified initial atomic state is achieved by…

量子物理 · 物理学 2025-01-22 Christopher Mayero , Joseph Akeyo Omolo , Stephen Onyango Okeyo

Geometric quantum computation is the idea that geometric phases can be used to implement quantum gates, i.e., the basic elements of the Boolean network that forms a quantum computer. Although originally thought to be limited to adiabatic…

量子物理 · 物理学 2016-09-16 Erik Sjöqvist , Vahid Azimi Mousolou , Carlo M. Canali

Larger multi-qubit quantum gates allow shallower, more efficient quantum circuits, which could decrease the prohibitive effect of noise on algorithms for noisy intermediate-scale quantum (NISQ) devices and fault-tolerant error correction…

量子物理 · 物理学 2025-06-06 Dylan Lewis , Roeland Wiersema , Juan Carrasquilla , Sougato Bose

Among existing approaches to holonomic quantum computing, the adiabatic holonomic quantum gates (HQGs) suffer errors due to decoherence, while the non-adiabatic HQGs either require additional Hilbert spaces or are difficult to scale. Here,…

量子物理 · 物理学 2020-04-15 Yingcheng Li , Tao Xin , Chudan Qiu , Keren Li , Gangqin Liu , Jun Li , Yidun Wan , Dawei Lu

Geometric phases accompanying adiabatic quantum evolutions can be used to construct robust quantum control for quantum information processing due to their noise-resilient feature. A significant development along this line is to construct…

We propose a method to produce fast transitionless dynamics for finite-dimensional quantum systems without requiring additional Hamiltonian components not included in the initial control setup, remaining close to the true adiabatic path at…

量子物理 · 物理学 2018-11-09 Francesco Petiziol , Benjamin Dive , Florian Mintert , Sandro Wimberger

A controlled-phase gate was demonstrated in superconducting Xmon transmon qubits with fidelity reaching 99.4%, relying on the adiabatic interaction between the |11> and |02> states. Here we explain the theoretical concepts behind this…

量子物理 · 物理学 2014-08-21 John M. Martinis , Michael R. Geller

Realization of quantum computing requires the development of high-fidelity quantum gates that are resilient to decoherence, control errors, and environmental noise. While non-adiabatic holonomic quantum computation (NHQC) offers a promising…

量子物理 · 物理学 2024-12-04 Zhihuang Kang , Shutong Wu , Kunji Han , Jiamin Qiu , Joel Moser , Jie Lu , Ying Yan

Cat qubits have emerged as a promising candidate for quantum computation due to their higher error-correction thresholds and low resource overheads. In existing literature, the detuning of the two-photon drive is assumed to be zero for…

量子物理 · 物理学 2024-07-31 A. Schlabes , R. Bhowmick , M. H. Ansari

We provide a theoretical study of the quantum adiabatic evolution algorithm with different evolution paths proposed in [E. Farhi, et al., arXiv:quant-ph/0208135]. The algorithm is applied to a random binary optimization problem (a version…

量子物理 · 物理学 2009-11-10 A. Boulatov , V. N. Smelyanskiy

Quantum computers comprise elementary logic gates that initialize, control and measure delicate quantum states. One of the most important gates is the controlled-NOT, which is widely used to prepare two-qubit entangled states. The…

量子物理 · 物理学 2024-01-04 Robert J. Chapman , Samuel Häusler , Giovanni Finco , Fabian Kaufmann , Rachel Grange

Nonadiabatic geometric phases are only dependent on the evolution path of a quantum system but independent of the evolution details, and therefore quantum computation based on nonadiabatic geometric phases is robust against control errors.…

量子物理 · 物理学 2020-06-09 K. Z. Li , P. Z. Zhao , D. M. Tong

Time-bin qubits, where information is encoded in a single photon at different times, have been widely used in optical fiber and waveguide based quantum communications. With the recent developments in distributed quantum computation, it is…

We propose a scheme which implements a controllable change of the state of the target spin qubit in such a way that both the control and the target spin qubits remain in their ground states. The interaction between the two spins is mediated…

量子物理 · 物理学 2013-07-08 G. P. Berman. A. R. Bishop , F. Borgonovi , V. I. Tsifrinovich

We generalize the quantum adiabatic theorem to the non-Hermitian system and build a rigorous adiabaticity condition with respect to the adiabatic phase. The non-Hermitian Hamiltonian inverse engineering method is proposed for the purpose to…

量子物理 · 物理学 2016-11-30 Qi-Cheng Wu , Ye-Hong Chen , Bi-Hua Huang , Yan Xia , Jie Song

It is shown that the two qubit CNOT (controlled NOT) gate can also be realised using q-deformed angular momentum states via the Jordan-Schwinger mechanism.Thus all the three gates necessary for universality i.e. Hadamard, Phase Shift and…

量子物理 · 物理学 2008-07-17 Debashis Gangopadhyay

We find exact solutions for a universal set of quantum gates on a scalable candidate for quantum computers, namely an array of two level systems. The gates are constructed by a combination of dynamical and geometrical (non-Abelian) phases.…

量子物理 · 物理学 2009-11-11 V. Karimipour , N. Majd

We analyse the implementation of a fast nonadiabatic CZ gate between two transmon qubits with tuneable coupling. The gate control method is based on a theory of dynamical invariants which leads to reduced leakage and robustness against…

量子物理 · 物理学 2022-05-16 Hilario Espinós , Iván Panadero , Juan José García-Ripoll , Erik Torrontegui

Topological quantum computing promises error-resistant quantum computation without active error correction. However, there is a worry that during the process of executing quantum gates by braiding anyons around each other, extra anyonic…

量子物理 · 物理学 2015-08-05 Chris Cesare , Andrew J. Landahl , Dave Bacon , Steven T. Flammia , Alice Neels