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Siewert, Jens; Fazio, Rosario; Palma, G. Massimo; Sciacca, E.

doi:10.1023/a:1004612016347

Cited by 32 publications

(22 citation statements)

References 7 publications

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“…For instance, superconducting qubits can be cou- pled to their nearest neighbors through capacitances [35], inductances [36] or Josephson junctions [37]. Different interaction models [38] resulted from different coupling schemes can be classified into four categories of commonly used interaction Hamiltonians: longitudinal Ising types [39][40][41], transverse Ising types [42][43][44], XY types [45][46][47] and Heisenberg types [48][49][50][51][52].…”

Section: B Qubits With Nearest-neighbor Couplingmentioning

confidence: 99%

Quantum simulation of pairing Hamiltonians with nearest-neighbor-interacting qubits

Wang

et al. 2016

Phys. Rev. A

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Although a universal quantum computer is still far from reach, the tremendous advances in controllable quantum devices, in particular with solid-state systems, make it possible to physically implement "quantum simulators". Quantum simulators are physical setups able to simulate other quantum systems efficiently that are intractable on classical computers. Based on solid-state qubit systems with various types of nearest-neighbor interactions, we propose a complete set of algorithms for simulating pairing Hamiltonians. Fidelity of the target states corresponding to each algorithm is numerically studied. We also compare algorithms designed for different types of experimentally available Hamiltonians and analyze their complexity. Furthermore, we design a measurement scheme to extract energy spectra from the simulators. Our simulation algorithms might be feasible with state-of-the-art technology in solid-state quantum devices.

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Section: B Qubits With Nearest-neighbor Couplingmentioning

confidence: 99%

Quantum simulation of pairing Hamiltonians with nearest-neighbor-interacting qubits

Wang

et al. 2016

Phys. Rev. A

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“…However, often this will be difficult to realize. For example, in many of the proposed solid-state implementations nearest-neighbor coupling appears to be the standard choice (consider, e.g., electron spins in quantum dots coupled by tunnel junctions [4], excitonic qubits in quantum dots [5], inductively coupled Josephson flux qubits [6], or Josephson charge qubits coupled by Josephson junctions [7]). …”

Section: Definitions and General Assumptionsmentioning

confidence: 99%

“…This type of coupling has been proposed for quantum dot spins coupled by a cavity [11], for Josephson charge qubits coupled by Josephson junctions [7], and for nuclear spins interacting via a two-dimensional electron gas [12]. For the ZZ-interaction, the CNOT operation is indeed the natural two-bit operation since…”

Section: Interaction Hamiltonians For Qubitsmentioning

confidence: 99%

Natural two-qubit gate for quantum computation using theXYinteraction

2003

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The two-qubit interaction Hamiltonian of a given physical implementation determines whether or not a two-qubit gate such as the CNOT gate can be realized easily. It can be shown that, e.g., with the XY interaction more than one two-qubit operation is required in order to realize CNOT. Here we propose a two-qubit gate for the XY interaction which combines CNOT with the SWAP operation. By using this gate quantum circuits can be implemented efficiently, even if only nearest-neighbor coupling between the qubits is available.

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“…Coherent charge dynamics and conditional operations with constant capacitive interaction have been demonstrated 79 > 112 . A tunable nearest-neighbor XX + YY coupling is achieved by connection with SQUIDs; however, the interaction strength is rather low 206 . Charge qubits can profit from a cavity, mediating an XXinteraction 207 and nonclassical radiation 208 .…”

Section: Coupled Qubits and Beyondmentioning

confidence: 99%

Superconducting Quantum Computing: Status and Prospects

Wilhelm

Semba

2006

Physical Realizations of Quantum Computing

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We review the experimental and theoretical status of superconducting quantum bits based on Josephson junctions in view of DiVincenzo's criteria.This article takes a momentary (summer 2005) snapshot of the field of superconducting Josephson qubit. It serves on the one hand as an introduction to the general concept aimed at a broader quantum computing audience containing a guide to the more specifit literature. A particular focus is given to the rather unique idea of manipulating macroscopic states quantum-coherently and the intellectual and practical challenges and implications of that work. On the other hand, we have attempted to review the most significant results of the field. Such a choice is necessarily subjective and we are probably not fully exhaustive. For exemplifying details we have typically described our own work -this is what we know best -in a way which highlights the broader ideas and should enable the reader to comprehend related work of other authors from the original literature. * Dedicated to the memory of Martti Salomaa. Parts of the text are based on the Habilitationsschrift of FKW, Ludwig-Maximilians-Universitat, 2004. Physical Realizations of Quantum Computing Downloaded from www.worldscientific.com by PURDUE UNIVERSITY on 06/20/16. For personal use only.

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Untitled

Cited by 32 publications

References 7 publications

Quantum simulation of pairing Hamiltonians with nearest-neighbor-interacting qubits

Quantum simulation of pairing Hamiltonians with nearest-neighbor-interacting qubits

Natural two-qubit gate for quantum computation using theXYinteraction

Superconducting Quantum Computing: Status and Prospects

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