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It is shown that a family of analytically solvable pulses can be used to obtain high fidelity quantum phase gates with surprising robustness against imperfections in the system or pulse parameters. Phase gates are important because they can…

Mesoscale and Nanoscale Physics · Physics 2012-06-06 Sophia E. Economou

The successful test of non-Abelian statistics not only serves as a milestone in fundamental physics but also provides a quantum gate operation in topological quantum computation. An accurate and efficient readout scheme of a topological…

Mesoscale and Nanoscale Physics · Physics 2019-11-26 Chun-Xiao Liu , Dong E. Liu , Fu-Chun Zhang , Ching-Kai Chiu

Topological quantum computing has recently proven itself to be a powerful computational model when constructing viable architectures for large scale computation. The topological model is constructed from the foundation of a error correction…

Quantum Physics · Physics 2013-06-24 Simon J. Devitt , Kae Nemoto

We propose a geometric phase gate in a decoherence-free subspace with trapped ions. The quantum information is encoded in the Zeeman sublevels of the ground-state and two physical qubits to make up one logical qubit with ultra long…

Quantum Physics · Physics 2015-05-14 Peter A. Ivanov , Ulrich G. Poschinger , Kilian Singer , Ferdinand Schmidt-Kaler

We use quantum process tomography to characterize a full universal set of all-microwave gates on two superconducting single-frequency single-junction transmon qubits. All extracted gate fidelities, including those for Clifford group…

We analyze a new Rydberg gate design based on the original $\pi-2\pi-\pi$ protocol [Jaksch, et. al. Phys. Rev. Lett. {\bf 85}, 2208 (2000)] that is modified to enable high fidelity operation without requiring a strong Rydberg interaction.…

Quantum Physics · Physics 2026-04-16 Daniel C. Cole , Vikas Buchemmavari , Mark Saffman

Large optical nonlinearities occurring in a coherently prepared atomic system are shown to produce phase shifts of order $\pi$. Such an effect may be observed in ultracold rubidium atoms where it could be feasibly exploited toward the…

Quantum Physics · Physics 2007-05-23 S. Rebic , D. Vitali , C. Ottaviani , P. Tombesi , M. Artoni , F. Cataliotti , R. Corbalan

Geometric phases are robust against certain types of local noises, and thus provide a promising way towards high-fidelity quantum gates. However, comparing with the dynamical ones, previous implementations of nonadiabatic geometric quantum…

Quantum Physics · Physics 2021-06-09 Sai Li , Jing Xue , Tao Chen , Zheng-Yuan Xue

The Barenco gate~($\mathbb{B}$) is a type of two-qubit quantum gate based on which alone universal quantum computation can be achieved. Each $\mathbb{B}$ is characterized by three angles ($\alpha,\theta$, and $\phi$) though it works in a…

Quantum Physics · Physics 2018-03-14 Xiao-Feng Shi

A proof is given, which relies on the commutator algebra of the unitary Lie groups, that quantum gates operating on just two bits at a time are sufficient to construct a general quantum circuit. The best previous result had shown the…

Condensed Matter · Physics 2009-10-22 David P. Divincenzo

Nanomechanical computers promise a greatly improved energetic efficiency compared to their electrical counterparts. However, progress towards this goal is hindered by a lack of modular components, such as logic gates or transistors, and…

Emerging Technologies · Computer Science 2019-10-09 Marc Serra-Garcia

The nonadiabatic geometric quantum computation is promising as it is robust against certain types of local noises. However, its experimental implementation is challenging due to the need of complex control on multi-level and/or multiple…

Quantum Physics · Physics 2018-11-28 Tao Chen , Zheng-Yuan Xue

We present designs for scalable quantum computers composed of qubits encoded in aggregates of four or more Majorana zero modes, realized at the ends of topological superconducting wire segments that are assembled into superconducting…

Topological quantum computation is an implementation of a quantum computer in a way that radically reduces decoherence. Topological qubits are encoded in the topological evolution of two-dimensional quasi-particles called anyons and…

Quantum Physics · Physics 2020-08-11 Mohamed Taha Rouabah

Majorana bound states are quasiparticle excitations localized at the boundaries of a topologically nontrivial superconductor. They are zero-energy, charge-neutral, particle-hole symmetric, and spatially-separated end modes which are…

Mesoscale and Nanoscale Physics · Physics 2022-12-21 Pasquale Marra

We propose a geometric phase gate of two ion qubits that are encoded in two levels linked by an optical dipole-forbidden transition. Compared to hyperfine geometric phase gates mediated by electric dipole transitions, the gate has many…

Quantum Physics · Physics 2008-05-16 K. Kim , C. F. Roos , L. Aolita , H. Haeffner , V. Nebendahl , R. Blatt

A universal set of quantum gates is constructed for the recently developed jump-error correcting quantum codes. These quantum codes are capable of correcting errors arising from the spontaneous decay of distinguishable qubits into…

Quantum Physics · Physics 2007-05-23 G. Alber , M. Mussinger , A. Delgado

Two-qubit logical gates are proposed on the basis of two atoms trapped in a cavity setup. Losses in the interaction by spontaneous transitions are efficiently suppressed by employing adiabatic transitions and the Zeno effect. Dynamical and…

Quantum Physics · Physics 2009-11-07 Jiannis Pachos , Herbert Walther

Simulating physical systems on near-term quantum computers often requires preparing states within constrained subspaces, like those with fixed particle number or spin. We use Lie algebraic techniques to prove that hardware-efficient gates…

Quantum Physics · Physics 2026-05-05 Andreas Stergiou , Nicolas PD Sawaya

Despite the evident necessity of topological protection for realizing scalable quantum computers, the conceptual underpinnings of topological quantum logic gates had arguably remained shaky, both regarding their physical realization as well…

Quantum Physics · Physics 2024-07-12 David Jaz Myers , Hisham Sati , Urs Schreiber
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