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One-way quantum computing is a promising candidate for fault-tolerant quantum computing. Here, we propose new protocols to realize a deterministic one-way CNOT gate and one-way $X$-rotations on quantum-computing platforms. By applying a…

I describe the use of techniques based on composite rotations to combat systematic errors in controlled phase gates, which form the basis of two qubit quantum logic gates. Although developed and described within the context of Nuclear…

Quantum Physics · Physics 2007-05-23 Jonathan A. Jones

Loss of every bit in traditional logic circuits involves dissipation of power in the form of heat that evolve to the environment. Reversible logic is one of the alternatives that have capabilities to mitigate this dissipation by preventing…

Hardware Architecture · Computer Science 2021-08-24 Hari Mohan Gaur , Ashutosh Kumar Singh , Umesh Ghanekar

Modern platforms for potential qubit candidates, such as trapped ions or neutral atoms, allow long range connectivity between distant physical qubits through shuttling. This opens up an avenue for transversal logical CNOT gates between…

Quantum Physics · Physics 2025-04-14 Kwok Ho Wan , Mark Webber , Austin G. Fowler , Winfried K. Hensinger

Reversible computing has attracted the attention of researchers due to its low power consumption and less heat dissipation compared to conventional computing. A number of reversible gates have been proposed by different researchers and…

Emerging Technologies · Computer Science 2015-01-08 Shubham Gupta

A quantum computer can solve hard problems - such as prime factoring, database searching, and quantum simulation - at the cost of needing to protect fragile quantum states from error. Quantum error correction provides this protection, by…

The XOR Boolean logic gate is widely used in many applications such as encryption (XOR ciphers), binary addition (half- and full-adders), error detection (parity bits), etc. but is challenging to construct because of its demanding…

Mesoscale and Nanoscale Physics · Physics 2026-03-10 Supriyo Bandyopadhyay

We demonstrate a controlled-Z gate between capacitively coupled fluxonium qubits with transition frequencies $72.3~\textrm{MHz}$ and $136.3~\textrm{MHz}$. The gate is activated by a $61.6~\textrm{ns}$ long pulse at the frequency between…

An algorithm for reversible logic synthesis is proposed. The task is, for a given $n$-bit substitution map $P_n: \{0,1\}^n \rightarrow \{0,1\}^n$, to find a sequence of reversible logic gates that implements the map. The gate library…

Logic in Computer Science · Computer Science 2024-07-24 Hochang Lee , Kyung Chul Jeong , Daewan Han , Panjin Kim

The promise of tremendous computational power, coupled with the development of robust error-correcting schemes, has fuelled extensive efforts to build a quantum computer. The requirements for realizing such a device are confounding:…

Quantum Physics · Physics 2011-08-17 J L O'Brien , G J Pryde , A G White , T C Ralph , D Branning

The end of Moore's law for CMOS technology has prompted the search for low-power computing alternatives, resulting in several promising proposals based on magnetic logic[1-8]. One approach aims at tailoring arrays of nanomagnetic islands in…

Mesoscale and Nanoscale Physics · Physics 2021-09-08 Pieter Gypens , Jonathan Leliaert , Massimiliano Di Ventra , Bartel Van Waeyenberge , Daniele Pinna

We present a set of efficiently implementable logical multi-qubit gates in concatenated quantum error correction codes using parity qubits. In particular, we show how fault-tolerant high-weight rotation gates of arbitrary angle can be…

Quantum Physics · Physics 2025-12-16 Anette Messinger , Christophe Goeller , Wolfgang Lechner

In modern computers, computation is performed by assembling together sets of logic gates. Popular gates like AND, OR, XOR, processing two logic inputs and yielding one logic output, are often addressed as irreversible logic gates where the…

Mesoscale and Nanoscale Physics · Physics 2017-01-16 Miquel Lopez-Suarez , Igor Neri , Luca Gammaitoni

By using the memristor's memory to both store a bit and perform an operation with a second input bit, simple Boolean logic gates have been built with a single memristor. The operation makes use of the interaction of current spikes…

Emerging Technologies · Computer Science 2014-02-18 Ella Gale , Ben de Lacy Costello , Andrew Adamatzky

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…

Quantum Physics · Physics 2008-07-17 Debashis Gangopadhyay

Reversible logic has two main properties. First, the number of inputs is equal to the number of outputs. Second, it implements a one-to-one mapping; i.e., one can reconstruct the inputs from the outputs. These properties enable its…

Cryptography and Security · Computer Science 2017-12-05 Samah Mohamed Saeed , Xiaotong Cui , Robert Wille , Alwin Zulehner , Kaijie Wu , Rolf Drechsler , Ramesh Karri

We describe the design for a scalable, solid-state quantum-information-processing architecture based on the integration of GHz-frequency nanomechanical resonators with Josephson tunnel junctions, which has the potential for demonstrating a…

Quantum Physics · Physics 2009-11-10 Michael R. Geller , Andrew N. Cleland

We present a theoretical analysis of the selective darkening method for implementing quantum controlled-NOT (CNOT) gates. This method, which we recently proposed and demonstrated, consists of driving two transversely-coupled quantum bits…

Quantum Physics · Physics 2012-07-25 P. C. de Groot , S. Ashhab , A. Lupascu , L. DiCarlo , Franco Nori , C. J. P. M. Harmans , J. E. Mooij

It is well known that most of the frequently used reversible logic gates (e.g., NOT, CNOT, SWAP, Toffoli, Fredkin) are self-inverse and are represented by square matrices that are unitary and Hermitian. However, with a simple minded…

Quantum Physics · Physics 2017-02-21 Anirban Pathak

Much attention has focused on the transmon architecture for large-scale superconducting quantum devices, however, the fluxonium qubit has emerged as a possible successor. With a shunting inductor in parallel to a Josephson junction, the…

Quantum Physics · Physics 2024-08-05 Taryn V. Stefanski , Christian Kraglund Andersen
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