Experimental Engineering of Arbitrary Qudit States with Discrete-Time Quantum Walks

Giordani, Taira; Polino, Emanuele; Emiliani, Sabrina; Suprano, Alessia; Innocenti, Luca; Majury, Helena; Marrucci, Lorenzo; Paternostro, Mauro; Ferraro, Alessandro; Spagnolo, Nicolò; Sciarrino, Fabio

doi:10.1103/physrevlett.122.020503

Cited by 97 publications

(91 citation statements)

References 78 publications

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“…For example, disordered quantum walks generate maximally entangled states in the asymptotic limit [25]. * gratsea.katerina@gmail.com † alexandre.dauphin@icfo.eu These non periodic quantum walks can also be used for state preparation [26].…”

Section: Introductionmentioning

confidence: 99%

Generation of hybrid maximally entangled states in a one-dimensional quantum walk

Gratsea

Lewenstein

Dauphin

2020

Quantum Sci. Technol.

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We study the generation of hybrid entanglement in a one-dimensional quantum walk. In particular, we explore the preparation of maximally entangled states between position and spin degrees of freedom. We address it as an optimization problem, where the cost function is the Schmidt norm. We then benchmark the algorithm and compare the generation of entanglement between the Hadamard quantum walk, the random quantum walk and the optimal quantum walk. Finally, we discuss an experimental scheme with a photonic quantum walk in the orbital angular momentum of light. The experimental measurement of entanglement can be achieved with weak values measurements.

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Section: Introductionmentioning

confidence: 99%

Generation of hybrid maximally entangled states in a one-dimensional quantum walk

Gratsea

Lewenstein

Dauphin

2020

Quantum Sci. Technol.

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“…This clearly implies that the bit-rate can be made higher depending on the position space dimension we can control under current technologies. Many earlier results have demonstrated ways to control probability distribution of the DTQW [50][51][52][53][54][55][56]. Therefore, the probability distribution of the walk can be engineered to get a uniform probability distribution which is desired in any cryptographic protocols or any other distribution.…”

Section: Discussionmentioning

confidence: 99%

Multi-bit quantum random number generation from a single qubit quantum walk

Sarkar

Chandrashekar

2019

Sci Rep

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We present a scheme for multi-bit quantum random number generation using a single qubit discrete-time quantum walk in one-dimensional space. Irrespective of the initial state of the qubit, quantum interference and entanglement of particle with the position space in the walk dynamics certifies high randomness in the system. Quantum walk in a position space of dimension 2 l + 1 ensures string of ( l + 2)-bits of random numbers from a single measurement. Bit commitment with the position space and control over the spread of the probability distribution in position space enable us with options to extract multi-bit random numbers. This highlights the power of one qubit , its practical importance in generating multi-bit string in single measurement and the role it can play in quantum communication and cryptographic protocols. This can be further extended with quantum walks in higher dimensions.

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“…For many of these applications, it is important to have a precise control over the fraction of light undergoing STOC. For instance, controlled STOC has been employed for realizing quantum random walks, where the SAM functions as the coin space, while the OAM functions as the walk space 22–25 . In these experiments, the fraction of light undergoing STOC was controlled by tuning the retardance of the q-plates using an externally applied voltage 26 .…”

Section: Introductionmentioning

confidence: 99%

Wavelength-adaptable effective q-plates with passively tunable retardance

Kadiri

Raghavan

2019

Sci Rep

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Wave retarders having spatially varying optical axes orientations, called q-plates are extremely efficient devices for converting spin to orbital angular momentum of light and for the generation of optical vortices. Most often, these plates are designed for a specific wavelength and have a homogeneous constant retardance. The present work provides a polarimetric approach for overcoming both these limitations. We theoretically propose and experimentally demonstrate q-plates with tunable retardance, employing a combination of only standard q-plates and waveplates. A clear prescription is provided for realizing wavelength indepedent q-plates for a desired retardance, with a potential for ultrafast switching. Apart from the potential commercial value of the proposed devices, our results may find applications in quantum communication protocols, astronomical coronography, angular momentum sorting and in schemes that leverage optical vortices and spin to orbital angular momentum conversion.

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Experimental Engineering of Arbitrary Qudit States with Discrete-Time Quantum Walks

Cited by 97 publications

References 78 publications

Generation of hybrid maximally entangled states in a one-dimensional quantum walk

Generation of hybrid maximally entangled states in a one-dimensional quantum walk

Multi-bit quantum random number generation from a single qubit quantum walk

Wavelength-adaptable effective q-plates with passively tunable retardance

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