Quantum wave processing

Ferry, D. K.; Akis, R.; Harris, Jason S.

doi:10.1006/spmi.2001.0998

Cited by 16 publications

(9 citation statements)

References 24 publications

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“…From a practical perspective, complex optical systems are notoriously difficult to build. In 2001, Ferry and coworkers proposed that a quantum computer would be equivalent to a parallel analog electronic computer [12]. They suggested that a single qubit could be represented by the in-phase and quadrature components of a modulated signal, but their scheme was not easily extensible to multiple qubits.…”

Section: Introductionmentioning

confidence: 99%

“…The signal may be of any modality (e.g., acoustic, electromagnetic, etc), but we focus our discussion here on electronic signals. Like Ferry et al [12], we use quadrature modulation to represent a single qubit, but our approach easily generalizes to multiple qubits. Unitary gate operations are performed using analog electronic circuit devices, such as four-quadrant multipliers, operational amplifiers, and analog filters, although non-unitary operations may be performed as well.…”

Section: Introductionmentioning

confidence: 99%

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Signal-based classical emulation of a universal quantum computer

Cour

Ott

2015

New J. Phys.

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In this paper we present a novel approach to emulating a universal quantum computer with a classical system, one that uses a signal of bounded duration and amplitude to represent an arbitrary quantum state. The signal may be of any modality (e.g., acoustic, electromagnetic, etc), but we focus our discussion here on electronic signals. Unitary gate operations are performed using analog electronic circuit devices, such as four-quadrant multipliers, operational amplifiers, and analog filters, although non-unitary operations may be performed as well. In this manner, the Hilbert space structure of the quantum state, as well as a universal set of gate operations, may be fully emulated classically. The required bandwidth scales exponentially with the number of qubits, however, thereby limiting the scalability of the approach, but the intrinsic parallelism, ease of construction, and classical robustness to decoherence may nevertheless lead to capabilities and efficiencies rivaling that of current high performance computers.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Signal-based classical emulation of a universal quantum computer

Cour

Ott

2015

New J. Phys.

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“…Ferry and coworkers [1], who are the first authors to propose classical physical systems for HSC, describe an electromagnetic wave-based HSC. As an introductory example, they show an optical grid which makes the Fourier transform of the amplitude distribution of the incoming beam of light along its cross section.…”

Section: Introductionmentioning

confidence: 99%

Quantum computing with analog circuits: Hilbert space computing

Kish

2003

SPIE Proceedings

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We first point out the practical difficulties of universal quantum computing which may prohibit practical applications as universal computers. Then we show how to apply analog microelectronic circuits to realize the architecture, data processing and parallel computing abilities of quantum computing via Hilbert space computing with analog circuits. Such a Hilbert-space-analog (HSA) computer simulates the Hilbert space and its operators, and it is able to use and test quantum algorithms developed for the real quantum computers. Such a computer would be free of most of the practical difficulties of realizing and running a real quantum computer. This computer can be made universal. It is remarkable that by using the same numbers of transistors as in today's PCs, such a HSA computer can manipulate ~10 7 analog numbers corresponding to ~23 qubits, simultaneously, by quantum-parallel processing.

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“…9 The recent discovery of classical analogues to quantum systems has suggested that a classical emulation of a quantum computer may be feasible and both easier to build and far less susceptible to decoherence. [10][11][12][13] Motivated by this insight, we have developed a novel approach to quantum computing using classical analog signal processing. This approach uses a signal model that is mathematically equivalent to a multi-qubit, gate-based quantum computer.…”

Section: Introductionmentioning

confidence: 99%

Classical emulation of a quantum computer

Cour

Ostrove

Ott

et al. 2016

Int. J. Quantum Inform.

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This paper describes a novel approach to emulate a universal quantum computer with a wholly classical system, one that uses a signal of bounded duration and amplitude to represent an arbitrary quantum state. The signal may be of any modality (e.g. acoustic, electromagnetic, etc.) but this paper will focus on electronic signals. Individual qubits are represented by in-phase and quadrature sinusoidal signals, while unitary gate operations are performed using simple analog electronic circuit devices. In this manner, the Hilbert space structure of a multi-qubit quantum state, as well as a universal set of gate operations, may be fully emulated classically. Results from a programmable prototype system are presented and discussed.

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Quantum wave processing

Cited by 16 publications

References 24 publications

Signal-based classical emulation of a universal quantum computer

Signal-based classical emulation of a universal quantum computer

Quantum computing with analog circuits: Hilbert space computing

Classical emulation of a quantum computer

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