Quantum computation with classical light: Implementation of the Deutsch–Jozsa algorithm

Perez-García, Benjamin; McLaren, Melanie; Goyal, Sandeep K.; Hernández-Aranda, Raúl I.; Forbes, Andrew; Konrad, Thomas

doi:10.1016/j.physleta.2016.04.006

Cited by 18 publications

(7 citation statements)

References 46 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In addition, the quantum optical system do not need extremely cold temperatures to function. The central idea of quantum optical computing is that quantum information can be encoded by different degrees of freedom of photons (e.g., polarization, orbital angular momentum, spatial and temporal modes), by utilizing the common properties shared by both classical optics and quantum mechanics, such as superposition and interference, it is possible to simulate certain quantum behaviors with classical light [37,39,40,42,43,45,[48][49][50][51][52][53][55][56][57][58][59]62,67,153].…”

Section: Quantum Computing With Metamaterialsmentioning

confidence: 99%

Optical Realization of Wave-Based Analog Computing with Metamaterials

et al. 2020

View full text Add to dashboard Cite

Recently, the study of analog optical computing raised renewed interest due to its natural advantages of parallel, high speed and low energy consumption over conventional digital counterpart, particularly in applications of big data and high-throughput image processing. The emergence of metamaterials or metasurfaces in the last decades offered unprecedented opportunities to arbitrarily manipulate the light waves within subwavelength scale. Metamaterials and metasurfaces with freely controlled optical properties have accelerated the progress of wave-based analog computing and are emerging as a practical, easy-integration platform for optical analog computing. In this review, the recent progress of metamaterial-based spatial analog optical computing is briefly reviewed. We first survey the implementation of classical mathematical operations followed by two fundamental approaches (metasurface approach and Green’s function approach). Then, we discuss recent developments based on different physical mechanisms and the classical optical simulating of quantum algorithms are investigated, which may lead to a new way for high-efficiency signal processing by exploiting quantum behaviors. The challenges and future opportunities in the booming research field are discussed.

show abstract

Section: Quantum Computing With Metamaterialsmentioning

confidence: 99%

Optical Realization of Wave-Based Analog Computing with Metamaterials

et al. 2020

View full text Add to dashboard Cite

show abstract

“…It is a generalization of the Deutsch algorithm (see Section 2.2.6), and have been used in many experimental demonstrations of quantum computing. For a detailed account see [52] and citations therein.…”

Section: The Deutsch-jozsa Problemmentioning

confidence: 99%

Quantum Simulation Logic, Oracles, and the Quantum Advantage

Johansson

Larsson

2019

Entropy

View full text Add to dashboard Cite

Query complexity is a common tool for comparing quantum and classical computation, and it has produced many examples of how quantum algorithms differ from classical ones. Here we investigate in detail the role that oracles play for the advantage of quantum algorithms. We do so by using a simulation framework, Quantum Simulation Logic (QSL), to construct oracles and algorithms that solve some problems with the same success probability and number of queries as the quantum algorithms. The framework can be simulated using only classical resources at a constant overhead as compared to the quantum resources used in quantum computation. Our results clarify the assumptions made and the conditions needed when using quantum oracles. Using the same assumptions on oracles within the simulation framework we show that for some specific algorithms, like the Deutsch-Jozsa and Simon's algorithms, there simply is no advantage in terms of query complexity. This does not detract from the fact that quantum query complexity provides examples of how a quantum computer can be expected to behave, which in turn has proved useful for finding new quantum algorithms outside of the oracle paradigm, where the most prominent example is Shor's algorithm for integer factorization.PACS number(s): 03.67.Ac, 03.67.Lx

show abstract

“…In a parallel approach, there have been many theoretical proposals and successful attempts to simulate (or perform) quantum computation [17], quantum search algorithm [18], quantum information processing [19], quantum random walk [20] with classical waves. The employment of classical waves for their implementation overcomes the problem of sustaining quantum coherence for a long duration.…”

Section: Introductionmentioning

confidence: 99%

Quantum communication with $SU(2)$ invariant separable $2\times N$ level systems

Asthana,

Bala,

Ravishankar

2021

Preprint

View full text Add to dashboard Cite

Information is encoded in a qubit in the form of its Bloch vector. In this paper, we propose protocols for remote transfers of information in a known and an unknown qubit to qudits using SU (2)-invariant 1 2 ⊗S discordant states as a channel. These states have been identified as separable equivalents of the two-qubit entangled Werner states in [Bharath & Ravishankar, Phys. Rev. A 89, 062110]. Due to SU (2)×SU (2) invariance of these states, the remote qudit can be changed by performing appropriate measurements on the qubit. We also propose a protocol for transferring information of an unknown qudit to a remote qudit using a 1 2 ⊗ S-state as a channel. Finally, we propose a protocol for swapping of quantum discord from 1 2 ⊗ S-systems to S ⊗ S-systems. All the protocols proposed in this paper involve separable states as quantum channels. Employing these protocols, we believe that quantum information processing can be performed using highly mixed separable higher dimensional states.

show abstract

Quantum computation with classical light: Implementation of the Deutsch–Jozsa algorithm

Cited by 18 publications

References 46 publications

Optical Realization of Wave-Based Analog Computing with Metamaterials

Optical Realization of Wave-Based Analog Computing with Metamaterials

Quantum Simulation Logic, Oracles, and the Quantum Advantage

Quantum communication with $SU(2)$ invariant separable $2\times N$ level systems

Contact Info

Product

Resources

About