Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain

Tischler, Nora; Rockstuhl, Carsten; Słowik, Karolina

doi:10.1103/physrevx.8.021017

Cited by 45 publications

(36 citation statements)

References 33 publications

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“…(As we will discuss later, these tools provide a natural advantage for optics, allowing for simpler logical circuits even when working with qubits as the basic logical elements.) A way to realize an arbitrary n-dimensional unitary transformation on the mode space, with linear optics, has been outlined by Reck et al 33 quite some time ago, with recent improvements 34 and expansions 35 . In principle, Recktype schemes could perform universal processing with a single photon in many modes used to represent multiple qubits.…”

Section: Basicsmentioning

confidence: 99%

Photonic quantum information processing: A concise review

Slussarenko

Pryde

2019

Applied Physics Reviews

412

305

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Photons have been a flagship system for studying quantum mechanics, advancing quantum information science, and developing quantum technologies. Quantum entanglement, teleportation, quantum key distribution and early quantum computing demonstrations were pioneered in this technology because photons represent a naturally mobile and low-noise system with quantum-limited detection readily available. The quantum states of individual photons can be manipulated with very high precision using interferometry, an experimental staple that has been under continuous development since the 19th century. The complexity of photonic quantum computing device and protocol realizations has raced ahead as both underlying technologies and theoretical schemes have continued to develop. Today, photonic quantum computing represents an exciting path to medium-and large-scale processing. It promises to out aside its reputation for requiring excessive resource overheads due to inefficient two-qubit gates. Instead, the ability to generate large numbers of photons-and the development of integrated platforms, improved sources and detectors, novel noise-tolerant theoretical approaches, and more-have solidified it as a leading contender for both quantum information processing and quantum networking. Our concise review provides a flyover of some key aspects of the field, with a focus on experiment. Apart from being a short and accessible introduction, its many references to in-depth articles and longer specialist reviews serve as a launching point for deeper study of the field. CONTENTS arXiv:1907.06331v1 [quant-ph]

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Section: Basicsmentioning

confidence: 99%

Photonic quantum information processing: A concise review

Slussarenko

Pryde

2019

Applied Physics Reviews

412

305

View full text Add to dashboard Cite

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“…Due to its architecture, the photonic processor can be configured to perform arbitrary linear transformations on its 8 modes, both unitary and non-unitary [51][52][53], the latter implemented via ancillary modes. In QIP, non-unitary, lossy, transformations are typically considered detrimental.…”

Section: Arbitrary Linear Transformationsmentioning

confidence: 99%

“…The processor contains the optical realization of a Blass matrix [47,48], a well-known architecture for beamforming networks in microwave engineering, where it is used for directional transmission of radio frequency signals to and from antenna arrays. Translating this architecture from microwave engineering to optical QIP, the Blass matrix supports the realization of any arbitrary linear transformation, both unitary [49,50] and non-unitary [51][52][53]. We show that our processor preserves the coherence of quantum states by programming the processor to implement quantum interference.…”

Section: Introductionmentioning

confidence: 95%

8×8 reconfigurable quantum photonic processor based on silicon nitride waveguides

et al. 2019

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The development of large-scale optical quantum information processing circuits ground on the stability and reconfigurability enabled by integrated photonics. We demonstrate a reconfigurable 8×8 integrated linear optical network based on silicon nitride waveguides for quantum information processing. Our processor implements a novel optical architecture enabling any arbitrary linear transformation and constitutes the largest programmable circuit reported so far on this platform. We validate a variety of photonic quantum information processing primitives, in the form of Hong-Ou-Mandel interference, bosonic coalescence/anticoalescence and high-dimensional single-photon quantum gates. We achieve fidelities that clearly demonstrate the promising future for large-scale photonic quantum information processing using low-loss silicon nitride.

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“…Obtaining the system-bath transformation amplitudes, T ik , from direct integration would be tedious. Instead, we employ a general result which shows that any linear, dissipative two-mode transformation can be represented as a sub-system of a four-mode unitary transformation [53]. Furthermore, because the our evolution is passively linear and purely dissipative (i.e.…”

Section: Methodsmentioning

confidence: 99%

High-fidelity bosonic quantum state transfer using imperfect transducers and interference

Lau

Clerk

2019

npj Quantum Inf

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We consider imperfect two-mode bosonic quantum transducers that cannot completely transfer an initial source-system quantum state due to insufficient coupling strength or other Hamiltonian non-idealities. We show that such transducers can generically be made perfect by using interference and phase-sensitive amplification. Our approach is based on the realization that a particular kind of imperfect transducer (one which implements a swapped quantum non-demolition (QND) gate) can be made into a perfect one-way transducer using feed-forward and/or injected squeezing. We show that a generic imperfect transducer can be reduced to this case by repeating the imperfect transduction operation twice, interspersed with amplification. Crucially, our scheme only requires the ability to implement squeezing operations and/or homodyne measurement on one of the two modes involved. It is thus ideally suited to schemes where there is an asymmetry in the ability to control the two coupled systems (e.g. microwave-to-optics quantum state transfer). We also discuss a correction protocol that requires no injected squeezing and/or feed-forward operation.

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Quantum Optical Realization of Arbitrary Linear Transformations Allowing for Loss and Gain

Cited by 45 publications

References 33 publications

Photonic quantum information processing: A concise review

Photonic quantum information processing: A concise review

8×8 reconfigurable quantum photonic processor based on silicon nitride waveguides

High-fidelity bosonic quantum state transfer using imperfect transducers and interference

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