High-dimensional one-way quantum computation operations with on-chip optical d-level cluster states

Reimer, Christian; Kues, Michael; Sciara, Stefania; Roztocki, Piotr; Islam, Md. Nazmul; Cortés, Luis Romero; Zhang, Yanbing; Fischer, Bennet; Loranger, Sébastien; Kashyap, Raman; Cino, Alfonso Carmelo; Chu, Sai T.; Little, Brent E.; Moss, David J.; Caspani, Lucia; Munro, William J.; Azaña, José; Morandotti, Roberto

doi:10.1364/cleo_qels.2019.fth1a.4

Cited by 9 publications

(14 citation statements)

References 6 publications

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“…Partitioning of the qubit Hamiltonian into fragments that can be measured with such feed-forward measurement procedures increased the number of terms that can be grouped together and thus reduced the number of separately measured groups. However, even though such feed-forward measurements were demonstrated in some experiments [16][17][18][19] they have not yet became available in mainstream quantum computing hardware available to the public. Another difficulty with this approach is that a procedure for ensuring the optimality of this partitioning has been yet to be found.…”

Section: Introductionmentioning

confidence: 99%

Unitary Partitioning Approach to the Measurement Problem in the Variational Quantum Eigensolver Method

Izmaylov

Yen

Lang

et al. 2019

J. Chem. Theory Comput.

157

182

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To obtain estimates of electronic energies, the Variational Quantum Eigensolver (VQE) technique performs separate measurements for multiple parts of the system Hamiltonian. Current quantum hardware is restricted to projective single-qubit measurements, and thus, only parts of the Hamiltonian which form mutually qubit-wise commuting groups can be measured simultaneously. The number of such groups in the electronic structure Hamiltonians grows as N 4 , where N is the number of qubits, and thus puts serious restrictions on the size of the systems that can be studied. Using a partitioning of the system Hamiltonian as a linear combination of unitary operators we found a circuit formulation of the VQE algorithm that allows one to measure a group of fully anti-commuting terms of the Hamiltonian in a single series of single-qubit measurements. Compared to previously used grouping of Hamiltonian terms based on their qubit-wise commutativity, the unitary partitioning provides at least an N -fold reduction in the number of measurable groups.

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Section: Introductionmentioning

confidence: 99%

Unitary Partitioning Approach to the Measurement Problem in the Variational Quantum Eigensolver Method

Izmaylov

Yen

Lang

et al. 2019

J. Chem. Theory Comput.

157

182

View full text Add to dashboard Cite

show abstract

“…Correlated photon pairs are typically obtained via spontaneous nonlinear processes, for example, by exploiting spontaneous parametric down conversion (SPDC) in (2) media [4] or spontaneous four-wave mixing (SFMW) in (3) platforms. [5][6][7] Beyond standard bidimensional variables' correlations, such as for polarization, numerous quantum states with large Hilbert spaces have been generated based on these spontaneous processes, such as multicorrelated states, [8][9][10][11][12] multiple photon, [1,13,14] high-dimensional entangled states, [15][16][17][18] hyperentangled systems, [18,19] as well as multiphoton high-dimensional states. [20,21] In addition to spontaneous processes, photon correlations can also be obtained via Figure 1.…”

Section: Doi: 101002/lpor202000128mentioning

confidence: 99%

Induced Photon Correlations Through the Overlap of Two Four‐Wave Mixing Processes in Integrated Cavities

Zhang

Kues

Roztocki

et al. 2020

Laser & Photonics Reviews

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Induced photon correlations are directly demonstrated by exploring two coupled nonlinear processes in an integrated device. Using orthogonally polarized modes within an integrated microring cavity, phase matching of two different nonlinear four‐wave mixing processes is achieved simultaneously, wherein both processes share one target frequency mode, while their other frequency modes differ. The overlap of these modes leads to the coupling of both nonlinear processes, producing photon correlations. The nature of this process is confirmed by means of time‐ and power‐dependent photon correlation measurements. These findings are relevant to the fundamental understanding of spontaneous parametric effects as well as single‐photon‐induced processes, and their effect on optical quantum state generation and control.

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“…In fact such high-dimensional systems arise naturally in quantum frequency comb photonic systems using fiber optics, where each photon may have more than two internal states. [27,[53][54][55][56][57] States featuring d > 2 internal levels are typically denoted "qudits". Such photonic qudits have the advantage that their decoherence time is much longer than for other quantum computation schemes such as superconducting circuits.…”

Section: Photonic Parameterized Quantum Circuitsmentioning

confidence: 99%

Reducing the Amount of Single‐Qubit Rotations in VQE and Related Algorithms

et al. 2020

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With the advent of hybrid quantum classical algorithms using parameterized quantum circuits, the question of how to optimize these algorithms and circuits emerges. In this paper, it is shown that the number of single-qubit rotations in parameterized quantum circuits can be decreased without compromising the relative expressibility or entangling capability of the circuit. It is also shown that the performance of a variational quantum eigensolver (VQE) is unaffected by a similar decrease in single-qubit rotations. Relative expressibility and entangling capability are compared across different number of qubits in parameterized quantum circuits. High-dimensional qudits as a platform for hybrid quantum classical algorithms is a rarity in the literature. Therefore, quantum frequency comb photonics is considered as a platform for such algorithms and it is shown that a relative expressibility and entangling capability comparable to the best regular parameterized quantum circuits can be obtained.

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High-dimensional one-way quantum computation operations with on-chip optical d-level cluster states

Cited by 9 publications

References 6 publications

Unitary Partitioning Approach to the Measurement Problem in the Variational Quantum Eigensolver Method

Unitary Partitioning Approach to the Measurement Problem in the Variational Quantum Eigensolver Method

Induced Photon Correlations Through the Overlap of Two Four‐Wave Mixing Processes in Integrated Cavities

Reducing the Amount of Single‐Qubit Rotations in VQE and Related Algorithms

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