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In this work, we introduce new methods for the quantization, decomposition, and extraction (from electromagnetic simulations) of lumped-element circuit models for superconducting quantum devices. Our flux-charge symmetric procedures center…

Quantum Physics · Physics 2024-12-11 Basil M. Smitham , Andrew A. Houck

Prior studies have largely focused on quantum algorithms, often reducing parallel computing designs to abstract models or overly simplified circuits. This has contributed to the misconception that most applications are feasible only through…

Quantum Physics · Physics 2025-06-23 Yu-Ting Kao , Yeong-Jar Chang , Ying-Wei Tseng

We describe a practical method of constructing quantum combinational logic circuits with basic quantum logic gates such as NOT and general $n$-bit Toffoli gates. This method is useful to find the quantum circuits for evaluating logic…

Quantum Physics · Physics 2007-05-23 Jae-Seung Lee , Yongwook Chung , Jaehyun Kim , Soonchil Lee

We propose an effective scheme for manipulating quantum information stored in a superconducting nanocircuit. The Josephson qubits are coupled via their separate interactions with an information bus, a large current-biased Josephson junction…

Superconductivity · Physics 2009-11-10 L. F. Wei , Yu-xi Liu , Franco Nori

An implementation method of a gate in a quantum computer is studied in terms of a finite number of steps evolving in time according to a finite number of basic Hamiltonians, which are controlled by on-off switches. As a working example, the…

Quantum Physics · Physics 2007-05-23 K. Ch. Chatzisavvas , C. Daskaloyannis , C. P. Panos

Synthesis of quaternary quantum circuits involves basic quaternary gates and logic operations in the quaternary quantum domain. In this paper, we propose new projection operations and quaternary logic gates for synthesizing quaternary logic…

Other Computer Science · Computer Science 2012-10-31 Sudhindu Bikash Mandal , Amlan Chakrabarti , Susmita Sur-Kolay

Single-Flux Quantum (SFQ) digital logic is typically energy efficient and fast, and logic that uses ballistic and reversible principles provides a new platform to improve efficiency. We are studying long Josephson junctions (long JJs), SFQs…

Applied Physics · Physics 2026-04-08 Han Cai , Liuqi Yu , Waltraut Wustmann , Ryan Clarke , Kevin D. Osborn

Different nanofabricated superconducting circuits based on Josephson junctions have already achieved a degree of quantum coherence sufficient to demonstrate coherent superpositions of their quantum states. These circuits are considered for…

Superconductivity · Physics 2009-11-10 E. Collin , G. Ithier , A. Aassime , P. Joyez , D. Vion , D. Esteve

Quantum processing units (QPUs) based on superconducting Josephson junctions promise significant advances in quantum computing. However, they face critical challenges. Decoherence, scalability limitations, and error correction overhead…

Superconductivity · Physics 2025-04-04 Omid Mohebi , Alireza Hesam Mohseni

Quantum logic gates must perform properly when operating on their standard input basis states, as well as when operating on complex superpositions of these states. Experiments using superconducting qubits have validated the truth table for…

We propose a hybrid quantum circuit with both charge and flux qubits connected to a large Josephson junction that gives rise to an effective inter-qubit coupling controlled by the external magnetic flux. This switchable inter-qubit coupling…

Superconductivity · Physics 2009-11-13 Xiao-Ling He , J. Q. You , Yu-xi Liu , L. F. Wei , Franco Nori

The $\pi$-ring qubit array is described using quasiclassical approaches that are shown to be accurate and give clarity to the complex energy landscape of connected vortex qubits. Using the techniques, large arrays of Josephson junction…

Quantum Physics · Physics 2022-06-23 Michael Forrester , Fedor Kusmartsev

We study a quantum computing system using microwave photons in transmission line resonators on a superconducting chip as qubits. We show that all control necessary for quantum computing can be implemented by coupling to Josephson devices on…

Quantum Physics · Physics 2015-05-14 Lianghui Du , Yong Hu , Zheng-Wei Zhou , Guang-Can Guo , Xingxiang Zhou

We show that quantum computation circuits using coherent states as the logical qubits can be constructed from simple linear networks, conditional photon measurements and "small" coherent superposition resource states.

Quantum Physics · Physics 2009-11-10 T. C. Ralph , A. Gilchrist , G. J. Milburn , W. J. Munro , S. Glancy

Single flux quantum (SFQ) technology has garnered significant attention due to its low switching power and high operational speed. Researchers have been actively pursuing more advanced devices and technologies to further reduce the reliance…

Superconductivity · Physics 2023-10-24 Haolin Cong , Sasan Razmkhah , Mustafa Altay Karamuftuoglu , Massoud Pedram

Quantum algorithms to solve practical problems in quantum chemistry, materials science, and matrix inversion often involve a significant amount of arithmetic operations which act on a superposition of inputs. These have to be compiled to a…

Quantum Physics · Physics 2018-07-06 Thomas Häner , Mathias Soeken , Martin Roetteler , Krysta M. Svore

There are well-known protocols for performing CNOT quantum logic with qubits coupled by particular high-symmetry (Ising or Heisenberg) interactions. However, many architectures being considered for quantum computation involve qubits or…

Quantum Physics · Physics 2015-05-13 Michael R. Geller , Emily J. Pritchett , Andrei Galiautdinov , John M. Martinis

There are two elementary superconducting qubit types that derive directly from the quantum harmonic oscillator. In one the inductor is replaced by a nonlinear Josephson junction to realize the widely used charge qubits with a compact phase…

The strong anharmonicity and high coherence times inherent to fluxonium superconducting circuits are beneficial for quantum information processing. In addition to requiring high-quality physical qubits, a quantum processor needs to be…

We analyze the coupling of two flux qubits with a general many-body projector into the low-energy subspace. Specifically, we extract the effective Hamiltonians that controls the dynamics of two qubits when they are coupled via a capacitor…

Quantum Physics · Physics 2021-12-03 María Hita-Pérez , Gabriel Jaumà , Manuel Pino , Juan José García-Ripoll