Simulating the vibrational quantum dynamics of molecules using photonics

Designing quantum algorithms for simulating quantum systems has seen enormous progress, yet few studies have been done to develop quantum algorithms for open quantum dynamics despite its importance in modeling the system-environment interaction found in most realistic physical models. In this work we propose and demonstrate a general quantum algorithm to evolve open quantum dynamics on quantum computing devices. The Kraus operators governing the time evolution can be converted into unitary matrices with minimal dilation guaranteed by the Sz.-Nagy theorem. This allows the evolution of the initial state through unitary quantum gates, while using significantly less resource than required by the conventional Stinespring dilation. We demonstrate the algorithm on an amplitude damping channel using the IBM Qiskit quantum simulator and the IBM Q 5 Tenerife quantum device. The proposed algorithm does not require particular models of dynamics or decomposition of the quantum channel, and thus can be easily generalized to other open quantum dynamical models.

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“…(10) means we can obtain the diagonal element Using an optical setup such as in Ref. [35] the probability of measuring each entry in…”

Section: An Example Of a Minimal Unitary Dilation Ofmentioning

confidence: 99%

“…On the other hand the 2-level unitaries can be more easily implemented with a multiport photonic device as demonstrated in Refs. [34,35]. We will seek to demonstrate our methods on such a preferred device in a future study.…”

Section: Application To the Amplitude Damping Channelmentioning

confidence: 99%

A quantum algorithm for evolving open quantum dynamics on quantum computing devices

Xia

Kais

2020

Sci Rep

124

138

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“…Finally, in order to ensure that a neutral exciton is created in every optical or electrical excitation, the excitation power is usually high, which causes extra biexciton emission line. This issue can be avoided by employing resonance fluorescence, which requires a more sophisticated tuneable light source to excite each dot [16], and needs orthogonal-excitation or cross-polarisation configurations to suppress the laser background [16,26,27].On the other hand, many prototypical quantum processors, for tasks such as boson sampling, Shor's algorithm, arbitrary two-qubit gates, and quantum molecular-dynamics simulation, have recently been realised using on-chip photonic quantum networks [17][18][19][20][21][22][23]. In these works, multiple heralded single-photon states are prepared via spontaneous parametric down-conversion or spontaneous four-wave mixing, which both have low efficiency issue due to their Poissonian photon-number distribution [28,29].…”

mentioning

confidence: 99%

Single-photon emission from single-electron transport in a SAW-driven lateral light-emitting diode

et al. 2020

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Single-photon sources are essential building blocks in quantum photonic networks, where quantum-mechanical properties of photons are utilised to achieve quantum technologies such as quantum cryptography and quantum computing. Most conventional solid-state single-photon sources are based on single emitters such as self-assembled quantum dots, which are created at random locations and require spectral filtering. These issues hinder the integration of a singlephoton source into a scaleable photonic quantum network for applications such as on-chip photonic quantum processors. In this work, using only regular lithography techniques on a conventional GaAs quantum well, we realise an electrically triggered single-photon source with a GHz repetition rate and without the need for spectral filtering. In this device, a single electron is carried in the potential minimum of a surface acoustic wave (SAW) and is transported to a region of holes to form an exciton. The exciton then decays and creates a single photon in a lifetime of ∼ 100 ps. This SAW-driven electroluminescence (EL) yields photon antibunching with g (2) (0) = 0.39 ± 0.05, which satisfies the common criterion for a single-photon source g (2) (0) < 0.5. Furthermore, we estimate that if a photon detector receives a SAW-driven EL signal within one SAW period, this signal has a 79%-90% chance of being a single photon. This work shows that a single-photon source can be made by combining single-electron transport and a lateral n-i-p junction. This approach makes it possible to create multiple synchronised single-photon sources at chosen positions with photon energy determined by quantum-well thickness. Compared with conventional quantum-dot-based single-photon sources, this device may be more suitable for an on-chip integrated photonic quantum network.The development of single-photon sources is important for many quantum information technologies [1][2][3], such as quantum cryptography [4][5][6], quantum communication [7][8][9], quantum metrology [10, 11], and quantum computation [12, 13]. Currently, most high-performance single-photon sources are self-assembled InGaAs-based quantum dots (QDs) [14][15][16]. However, there are several issues that may limit their integration into practical quantum photonic networks [17][18][19][20][21][22][23][24]. Firstly, in conventional growth of self-assembled QDs, the location and size of each QD are quite random. Therefore, one has to rely on statistics to create structures like optical cavities and gates around a quantum dot. This will be an issue for applications that require several deterministicallyfabricated single-photon sources on a compact chip. Secondly, it is hard to precisely control the size of a quantum dot, which will affect the single-photon energy. Hence, it is challenging to make identical QD single-photon sources, which is essential for applications like quantum computation and a quantum repeater [12,25]. Finally, in order to ensure that a neutral exciton is created in every optical or electrical excitation, the e...

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“…These kinds of on‐chip multiphoton sources are very useful for boson sampling experiments. In past research on boson sampling, large‐scale integrated interferometers are always used . However, the multiphoton source remains off‐chip, which increases the stability requirement and coupling insertion loss and is extremely disadvantageous to the extended implementation of the large‐scale boson sampling test.…”

Section: Multiphoton State Preparationmentioning

confidence: 99%

Progress on Integrated Quantum Photonic Sources with Silicon

2019

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The high stability and scalability of integrated circuits make them a reliable and practical platform for photonic quantum information processing. In various platforms for quantum photonic integrated circuits, the silicon‐on‐insulator technology, with its strong nonlinear effect and mature fabrication technology, has gradually emerged in the preparation of quantum photonic sources. This report presents a review of this series of research advances in the preparation of a quantum photonic source, based on the spontaneously four‐wave mixing process in a silicon waveguide, especially chip‐scale entangled states that have been realized in recent years.

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Simulating the vibrational quantum dynamics of molecules using photonics

Cited by 228 publications

References 100 publications

A quantum algorithm for evolving open quantum dynamics on quantum computing devices

A quantum algorithm for evolving open quantum dynamics on quantum computing devices

Single-photon emission from single-electron transport in a SAW-driven lateral light-emitting diode

Progress on Integrated Quantum Photonic Sources with Silicon

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