Quantum computing based on a superconducting quantum interference device: exploiting the flux basis

Coffey, Mark W.

doi:10.1080/0950034021000011473

Cited by 6 publications

(2 citation statements)

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“…With some basics of quantum operations in mind, we turn our attention to the technologies available to implement these operations. Experimentalists have examined several technologies for quantum computation, including trapped ions [26], photons [27], bulk spin NMR [28], Josephson junctions [13], [29], SQUIDS [30], electron spin resonance transistors [31], and phosphorus nuclei in silicon (the "Kane" model) [12], [32]. Of these proposals, only the last three build upon a solid-state platform; they are generally expected to provide the scalability required to achieve a truly scalable computational substrate.…”

Section: Solid-state Technologiesmentioning

confidence: 99%

Toward a scalable, silicon-based quantum computing architecture

Copsey

Oskin

Impens

et al. 2003

IEEE J. Select. Topics Quantum Electron.

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Advances in quantum devices have brought scalable quantum computation closer to reality. We focus on the system-level issues of how quantum devices can be brought together to form a scalable architecture. In particular, we examine promising silicon-based proposals. We discover that communication of quantum data is a critical resource in such proposals. We find that traditional techniques using quantum SWAP gates are exponentially expensive as distances increase and propose quantum teleportation as a means to communicate data over longer distances on a chip. Furthermore, we find that realistic quantum error-correction circuits use a recursive structure that benefits from using teleportation for long-distance communication. We identify a set of important architectural building blocks necessary for constructing scalable communication and computation. Finally, we explore an actual layout scheme for recursive error correction, and demonstrate the exponential growth in communication costs with levels of recursion, and that teleportation limits those costs. Index Terms-Quantum architecture, quantum computers, silicon-based quantum computing. I. INTRODUCTION M ANY important problems seem to require exponential resources on a classical computer. Quantum computers can solve some of these problems with polynomial resources, which has led a great number of researchers to explore quantum information processing technologies [1]-[7]. Early-stage quantum computers have involved a small number Manuscript

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Section: Solid-state Technologiesmentioning

confidence: 99%

Toward a scalable, silicon-based quantum computing architecture

Copsey

Oskin

Impens

et al. 2003

IEEE J. Select. Topics Quantum Electron.

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“…In particular, Averin [28] has used adiabatic rotation in a two-level type Cooper pair qubit for performing quantum computations. Coffey [29] has proposed the manipulation of a symmetric flux qubit using the adiabatic evolution of the Josephson coupling energy of the superconducting ring. Our method is similar in spirit to the two above ideas, as it is based on the adiabatic evolution of the Hamiltonian.…”

Section: Introductionmentioning

confidence: 99%

Coherent manipulation of superconducting quantum interference devices with adiabatic passage

Paspalakis¹,

Kylstra

2004

Journal of Modern Optics

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The method of stimulated Raman adiabatic passage is applied in order to coherently manipulate a three-level superconducting quantum interference device quantum bit with two microwave pulses. Simulations indicate that this method has the potential to allow for efficient control of the system for a wide range of pulse parameters. IntroductionIn the quest for practical systems for carrying out quantum computations [1], solid-state systems that make use of the Josephson effect are viable candidates [2]. This has been exhibited in a series of important experiments [3][4][5][6][7][8][9][10][11][12][13][14]. One particular scheme is based on magnetic flux states in superconducting quantum interference devices (SQUIDs) [2,[15][16][17][18][19][20][21][22][23][24][25][26]. In some of these schemes [2,[16][17][18][19], the SQUID quantum bit, or qubit, which is the basic element of a SQUID quantum computer, is based on a two-level system manipulated by external fields. The interaction of these systems with both classical [2,16,17] and quantized [18,19] fields has been analysed.Zhou et al.[20] have recently proposed a three-level Ã-type rf-SQUID qubit. Here, the states of the qubit are the two lower flux states j0i and j1i of the Ã system, and the manipulation of the qubit is done with two microwave fields that couple the lower states to an upper state jei. As the transition matrix elements corresponding to the transitions j0i $ jei and j1i $ jei are larger than that of the j0i $ j1i transition, the three-level SQUID qubit has been shown to be more favourable than the conventional two-level SQUID qubit for implementing a NOT gate. Amin et al. [21] have shown that the scheme of Zhou et al. is incomplete and have proposed an improved scheme for the rotation of a three-level SQUID qubit. More recently, Yang and Han [22] have addressed the same problem using far-off-resonant Raman coupling to achieve an arbitrary rotation of a three-level SQUID qubit. They have demonstrated that large detunings of the driving fields from the upper state could be favourable for

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