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Related papers: Inertial geometric quantum logic gates

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The accurate implementation of quantum gates is essential for the realisation of quantum algorithms and digital quantum simulations. This accuracy may be increased on noisy hardware through the variational optimisation of gates, however the…

Quantum Physics · Physics 2021-07-14 Sean Greenaway , Frédéric Sauvage , Kiran E. Khosla , Florian Mintert

A new physical implementation for quantum computation is proposed. The vibrational modes of molecules are used to encode qubit systems. Global quantum logic gates are realized using shaped femtosecond laser pulses which are calculated…

Quantum Physics · Physics 2009-11-07 Carmen M. Tesch , Regina de Vivie-Riedle

We present two protocols for implementing deterministic non-local multi-qubit quantum gates on qubits coupled to a common cavity mode. The protocols rely only on a classical drive of the cavity modes, while no external drive of the qubits…

Quantum Physics · Physics 2025-03-24 Sven Jandura , Vineesha Srivastava , Laura Pecorari , Gavin Brennen , Guido Pupillo

The selective number-dependent arbitrary phase (SNAP) gates form a powerful class of quantum gates, imparting arbitrarily chosen phases to the Fock states of a cavity. However, for short pulses, coherent errors limit the performance. Here…

We present a fast phase gate scheme that is experimentally achievable and has an operation time more than two orders of magnitude faster than current experimental schemes for low numbers of pulses. The gate time improves with the number of…

Quantum Physics · Physics 2013-04-10 C. D. B. Bentley , A. R. R. Carvalho , D. Kielpinski , J. J. Hope

We propose a new protocol to implement ultra-fast two-qubit phase gates with trapped ions using spin-dependent kicks induced by resonant transitions. By only optimizing the allocation of the arrival times in a pulse train sequence the gate…

Quantum Physics · Physics 2020-10-28 E. Torrontegui , D. Heinrich , M. I. Hussain , R. Blatt , J. J. García-Ripoll

Non-adiabatic and non-closed evolutionary paths play a significant role in the fidelity of quantum gates. We propose a high-fidelity quantum control framework based on the quasi-topological number ($\nu_{\text{qua}}$), which extends the…

Quantum Physics · Physics 2026-03-10 Ximo Wang , Hongyan Fan , Zhengqi Bai , Yichi Zhang

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

Classical algorithms for predicting the equilibrium geometry of strongly correlated molecules require expensive wave function methods that become impractical already for few-atom systems. In this work, we introduce a variational quantum…

We propose a general approach to implement nonadiabatic geometric single- and two-qubit gates beyond the rotating wave approximation (RWA). This protocol is compatible with most optimal control methods used in previous RWA protocols; thus,…

Quantum Physics · Physics 2022-12-22 Ye-Hong Chen , Adam Miranowicz , Xi Chen , Yan Xia , Franco Nori

Achieving fast and high-fidelity qubit operations is crucial for unlocking the potential of quantum computers. In particular, reaching low gate errors in two-qubit gates has been a long-standing challenge in the field of superconducting…

Based on the geometrical nature of quantum phases, non-adiabatic holonomic quantum control (NHQC) has become a standard technique for enhancing robustness in constructing quantum gates. However, the conventional approach of NHQC is…

In this paper we study the implementation of non-adiabatic geometrical quantum gates with in semiconductor quantum dots. Different quantum information enconding/manipulation schemes exploiting excitonic degrees of freedom are discussed. By…

Quantum Physics · Physics 2009-11-10 Paolo Solinas , Paolo Zanardi , Nino Zangh\`ı , Fausto Rossi

Optimal-control techniques and a fast-approach scheme are used to implement a collisional control phase gate in a model of cold atoms in an optical lattice, significantly reducing the gate time as compared to adiabatic evolution while…

Quantum Physics · Physics 2007-05-23 Dan Vager , Bilha Segev , Y. B. Band

In this work, we review several results on development and application of incoherent version of GRAPE (Gradient Ascent Pulse Engineering) approach, inGRAPE, to optimization for open quantum systems driven by both coherent and incoherent…

Quantum Physics · Physics 2024-03-28 Vadim Petruhanov , Alexander Pechen

A proposal for applying non-adiabatic geometric phases to quantum computing, called the double-loop method [S.-L. Zhu and Z. D. Wang, Phys. Rev. A {\bf 67}, 022319 (2003)], is demonstrated in a liquid state NMR quantum computer. Using a…

Quantum Physics · Physics 2009-11-11 Yukihiro Ota , Yoshito Goto , Yasusi Kondo , Mikio Nakahara

We propose a novel symmetrization procedure to beat decoherence for oscillator-assisted quantum gate operations. The enacted symmetry is related to the global geometric features of qubits transformation based on ancillary oscillator modes,…

Quantum Physics · Physics 2009-11-10 Li-Xiang Cen , Paolo Zanardi

Geometric phases and holonomies (their non-commuting generalizations) are a promising resource for the realization of high-fidelity quantum operations in noisy devices, due to their intrinsic fault-tolerance against noise and experimental…

Quantum Physics · Physics 2018-10-16 Felix Kleißler , Andrii Lazariev , Silvia Arroyo-Camejo

Quantum holonomic gates hold built-in resilience to local noises and provide a promising approach for implementing fault-tolerant quantum computation. We propose to realize high-fidelity holonomic $(N+1)$-qubit controlled gates using…

Quantum Physics · Physics 2021-11-18 Jin-Lei Wu , Yan Wang , Jin-Xuan Han , Yongyuan Jiang , Jie Song , Yan Xia , Shi-Lei Su , Weibin Li

The design of high-fidelity quantum gates is difficult because it requires the optimization of two competing effects, namely maximizing gate speed and minimizing leakage out of the qubit subspace. We propose a deep reinforcement learning…

Quantum Physics · Physics 2024-04-26 Emily Wright , Rogério de Sousa