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Computations with a future quantum computer will be implemented through the operations by elementary quantum gates. It is now well known that the collection of 1-bit and 2-bit quantum gates are universal for quantum computation, i.e., any…

Quantum Physics · Physics 2007-05-23 G. Chen , D. A. Church , B. -G. Englert , M. S. Zubairy

Quantum walk has been regarded as a primitive to universal quantum computation. By using the operations required to describe the single particle discrete-time quantum walk on a position space we demonstrate the realization of the universal…

Quantum Physics · Physics 2021-06-16 Shivani Singh , Prateek Chawla , Anupam Sarkar , C. M. Chandrashekar

We propose a Lyapunov control design to achieve specific (or a family of) unitary time-evolution operators, i.e., quantum gates in the Schr\"{o}dinger picture by tracking control. Two examples are presented. In the first, we illustrate how…

Quantum Physics · Physics 2014-01-15 S. C. Hou , L. C. Wang , X. X. Yi

Obtaining high-fidelity and robust quantum gates is the key for scalable quantum computation, and one of the promising ways is to implement quantum gates using geometric phases, where the influence of local noises can be greatly reduced. To…

Quantum Physics · Physics 2021-10-07 Zhi-Cheng He , Zheng-Yuan Xue

In quantum logic operations, information is carried by the wavefunction rather than the energy distribution. Therefore, the relative phase is essential. Abelian and non-Abelian phases can be emulated in classical waves using passive coupled…

Quantum Physics · Physics 2023-07-03 Zhao-xian Chen , Ling-ling Ma , Shi-jun Ge , Ze-Guo Chen , Yan-qing Lu

It has been argued that gravity acts dissipatively on quantum-mechanical systems, inducing thermal fluctuations that become indistinguishable from quantum fluctuations. This has led some authors to demand that some form of time…

Mathematical Physics · Physics 2013-05-03 P. Fernandez de Cordoba , J. M. Isidro , Milton H. Perea

Unitary operations are the building blocks of quantum programs. Our task is to design effcient or optimal implementations of these unitary operations by employing the intrinsic physical resources of a given n-qubit system. The most common…

Quantum Physics · Physics 2007-05-23 Robert Zeier , Markus Grassl , Thomas Beth

The unique capability of quantum mechanics to evolve alternative possibilities in parallel is appealing and over the years a number of quantum algorithms have been developed offering great computational benefits. Systems coupled to the…

Disordered Systems and Neural Networks · Physics 2013-11-20 Gabor Vattay , Stuart A. Kauffman

Exciton-polaritons provide a great platform for developing ultrafast all-optical logic gates for quantum and optical chips. However, progress toward practical polariton logic remains limited due to incomplete logical functionality on a…

In the last decades, great achievements have been made in the development of computing machines. However, due to exponential growth of transistor density and in particular due to tremendously increasing power consumption, researchers expect…

Emerging Technologies · Computer Science 2014-07-03 Piyush Gautam

In the recent years, reversible logic has emerged as a promising technology having its applications in low power CMOS, quantum computing, nanotechnology, and optical computing. The classical set of gates such as AND, OR, and EXOR are not…

Hardware Architecture · Computer Science 2007-05-23 Himanshu Thapliyal , M. B Srinivas

We present a general method to construct fault-tolerant quantum logic gates with a simple primitive, which is an analog of quantum teleportation. The technique extends previous results based on traditional quantum teleportation (Gottesman…

Quantum Physics · Physics 2009-11-06 Xinlan Zhou , Debbie W. Leung , Isaac L. Chuang

With the advent of physical qubits exhibiting strong noise bias, it becomes increasingly relevant to identify which quantum gates can be efficiently implemented on error-correcting codes designed to address a single dominant error type.…

Quantum Physics · Physics 2025-07-09 Victor Barizien , Hugo Jacinto , Nicolas Sangouard

For circuit-based quantum computation, experimental implementation of universal set of quantum logic gates with high-fidelity and strong robustness is essential and central. Quantum gates induced by geometric phases, which depend only on…

Quantum Physics · Physics 2023-07-28 Ming-Zhong Ai , Sai Li , Ran He , Zheng-Yuan Xue , Jin-Ming Cui , Yun-Feng Huang , Chuan-Feng Li , Guang-Can Guo

We investigate the link between the irreversibility generated by a stationary dissipative process and the correlations established within a composite quantum system. We provide two equivalent expressions for the entropy generated in the…

Quantum Physics · Physics 2016-10-06 Matteo Brunelli , Mauro Paternostro

We provide a characterization and analysis of the effects of dissipation on oscillator assisted (qubus) quantum gates. The effects can be understood and minimized by looking at the dynamics of the signal coherence and its entanglement with…

Quantum Physics · Physics 2010-08-23 Sebastien G. R. Louis , W. J. Munro , T. P. Spiller , Kae Nemoto

This PhD dissertation investigates garbage-free reversible computing systems from abstract design to physical gate-level implementation. Designed in reversible logic, we propose a ripple-block carry adder and work towards a reversible…

Programming Languages · Computer Science 2023-09-22 Michael Kirkedal Thomsen

Quantum simulation represents the most promising quantum application to demonstrate quantum advantage on near-term noisy intermediate-scale quantum (NISQ) computers, yet available quantum simulation algorithms are prone to errors and thus…

Quantum Physics · Physics 2024-10-01 Shin Sun , Li-Chai Shih , Yuan-Chung Cheng

Knill, Laflamme, and Milburn (KLM) proved that it is possible to build a scalable universal quantum computer using only linear-optics elements and conditional dynamics [Nature (London) {\bf 409}, 46 (2001)\cite{Knill}]. However, the…

Quantum Physics · Physics 2009-09-29 Kaoru Sanaka , Kevin Resch

Optical logic has the potential to replace electronics with photonic circuits in applications for which optic-to-electronic conversion is impractical and for integrated all-optical circuits. Nonlinear optics in whispering gallery mode…