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The three-input TOFFOLI gate is the workhorse of circuit synthesis for classical logic operations on quantum data, e.g., reversible arithmetic circuits. In physical implementations, however, TOFFOLI gates are decomposed into six CNOT gates…

Quantum Physics · Physics 2011-11-03 Vivek V. Shende , Igor L. Markov

We consider how the Hamiltonian Quantum Computing scheme introduced in [arXiv:1509.01278] can be implemented using a 2D array of superconducting transmon qubits. We show how the scheme requires the engineering of strong attractive…

Quantum Physics · Physics 2019-06-11 Alessandro Ciani , Barbara M. Terhal , David P. DiVincenzo

The question of finding a lower bound on the number of Toffoli gates in a classical reversible circuit is addressed. A method based on quantum information concepts is proposed. The method involves solely concepts from quantum information -…

Quantum Physics · Physics 2007-05-23 Sandu Popescu , Berry Groisman , Serge Massar

We discuss a simple architecture for a quantum Toffoli gate implemented using three trapped ions. The gate, which in principle can be implemented with a single laser-induced operation, is effective under rather general conditions and is…

Quantum Physics · Physics 2015-05-20 Massimo Borrelli , Laura Mazzola , Mauro Paternostro , Sabrina Maniscalco

Encoding qubits in multiple degrees of freedom (DOFs) of a quantum system allows less-decoherence quantum information processing with much less quantum resources. We present a compact and scalable quantum circuit to determinately implement…

Quantum Physics · Physics 2016-10-19 Hai-Rui Wei , Fu-Guo Deng , Gui Lu Long

Quantum addition circuits are considered being of two types: 1) Toffolli-adder circuits which use only classical reversible gates (CNOT and Toffoli), and 2) QFT-adder circuits based on the quantum Fourier transformation. We present the…

Quantum Physics · Physics 2022-11-09 Alexandru Paler

We propose a scheme of fast three-qubit Toffoli quantum gate for ultracold neutral-atom qubits. The scheme is based on the Stark-tuned three-body F\"{o}rster resonances, which we have observed in our recent experiment [D.B.Tretyakov et al.,…

We present an error-detected hyperparallel Toffoli (hyper-Toffoli) gate for a three-photon system based on the interface between polarized photon and cavity-nitrogen-vacancy(NV) center system. This hyper-Toffoli gate can be used to perform…

Quantum Physics · Physics 2022-06-16 Y. M. Wu , G. Fan , F. F. Du

We analyze the multifractality of the fidelity in an engineered Toffoli gate. Using quantum control methods, we define several optimization problems whose global solutions realize the gate in a chain of three qubits with XY Heisenberg…

Quantum Physics · Physics 2022-03-03 Jalil Khatibi Moqadam , Guilherme S. Welter , Paulo A. A. Esquef

We propose a protocol for implementing Barenco-type multi-qubit controlled gates using short driven spin chains. Starting from an Ising interaction with a transverse drive on the last spin, we construct an effective two-qubit Hamiltonian…

Quantum Physics · Physics 2026-03-06 Rafael Vieira , Edgard P. M. Amorim

We experimentally demonstrate the underlying physical mechanism of the recently proposed protocol for superreplication of quantum phase gates [W. D\"ur, P. Sekatski, and M. Skotiniotis, Phys. Rev. Lett. 114, 120503 (2015)], which allows to…

Quantum Physics · Physics 2017-01-25 M. Mičuda , R. Stárek , I. Straka , M. Miková , M. Sedlák , M. Ježek , J. Fiurášek

Superconducting circuits are at the forefront of quantum computing technology because of the unparalleled combination of good coherence, fast gates and flexibility in design parameters. The majority of experiments demonstrating small…

Quantum Physics · Physics 2020-07-24 Tanay Roy , Sumeru Hazra , Suman Kundu , Madhavi Chand , Meghan P. Patankar , R. Vijay

We show a significant reduction of the number of quantum operations and the improvement of the circuit depth for the realization of the Toffoli gate by using qudits. This is done by establishing a general relation between the dimensionality…

Quantum Physics · Physics 2020-02-12 E. O. Kiktenko , A. S. Nikolaeva , Peng Xu , G. V. Shlyapnikov , A. K. Fedorov

The von Neumann architecture for a classical computer comprises a central processing unit and a memory holding instructions and data. We demonstrate a quantum central processing unit that exchanges data with a quantum random-access memory…

Distributed quantum computation requires to apply quantum remote gates on separate nodes or subsystems of network. On the other hand, Toffoli gate is a universal and well-known quantum gate. It is frequently used in synthesis of quantum…

Quantum Physics · Physics 2018-12-24 Moein Sarvaghad-Moghaddam , Mariam Zomorodi-Moghadam , Ahmed Farouk

Based on a microwave-photon quantum processor with two superconducting resonators coupled to one transmon qutrit, we construct the controlled-phase (c-phase) gate on microwave-photon-resonator qudits, by combination of the…

Quantum Physics · Physics 2014-08-04 Ming Hua , Ming-Jie Tao , Fu-Guo Deng

Recent experiments have demonstrated superconducting transmon qubits with semiconductor nanowire Josephson junctions. These hybrid gatemon qubits utilize field effect tunability characteristic for semiconductors to allow complete qubit…

Mesoscale and Nanoscale Physics · Physics 2016-04-20 L. Casparis , T. W. Larsen , M. S. Olsen , F. Kuemmeth , P. Krogstrup , J. Nygård , K. D. Petersson , C. M. Marcus

High-fidelity gate operations are essential to the realization of a fault-tolerant quantum computer. In addition, the physical resources required to implement gates must scale efficiently with system size. A longstanding goal of the…

A cost-effective n-bit Toffoli gate is proposed to be realized (or transpiled) based on the layouts (linear, T-like, and I-like) and the number of n physical qubits for IBM quantum computers. This proposed gate is termed the "layout-aware…

Quantum Physics · Physics 2024-10-18 Ali Al-Bayaty , Marek Perkowski

The quantum Fourier transform (QFT) is a ubiquitous quantum operation that is used in numerous quantum computing applications. The major obstacle to constructing a QFT circuit is that numerous elementary gates are required. Among the…

Quantum Physics · Physics 2024-07-23 Byeongyong Park , Doyeol Ahn