Universal Classical Optical Computing Inspired by Quantum Information Process

Sun, Yifan; Li, Qian; Kong, Ling‐Jun; Shang, Jiangwei; Zhang, Xiangdong

doi:10.1002/andp.202200360

Cited by 4 publications

(11 citation statements)

References 63 publications

(82 reference statements)

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“…Recent researches have shown that we can encode information with different DOFs in classical light, bridging a correspondence between classical optical state and quantum state. [ 41–51 ] Furthermore, with some special designs, we can construct an analogy of quantum entanglement, which is usually considered as a precious resource to many problems. For instance, the polarization of a single classical beam can be denoted by

\text{|} E \left.\right) = c_{H} \text{|} h \left.\right) + c_{V} \text{|} v \text{) }

, which is analog to the quantum state of a two‐level system.…”

Section: Theoretical Schemementioning

confidence: 99%

“…By establishing the correlation among the polarization states of the multiple beams, one can also obtain the state analog to the N ‐qubit quantum state as shown in ref. [51].…”

Section: Theoretical Schemementioning

confidence: 99%

“…m - 1 \left.\right) N + 1}^{m N} v \cdot E_{n_{m}}^{'} d \Omega$ is the measurement value of

P_{\pm}^{m}

. Among the steps, obtaining the local projections

h \cdot E_{n_{m}}^{'}

(or

v \cdot E_{n_{m}}^{'}

) is the vital one, and our solution is to use Mach–Zehnder interferometer (MZI) for homodyne detection, [ 51 ] specifically described as follows. For the

E_{n_{m}}^{'}

with a specific

a_{m}

, an ancillary beam

E_{n_{m}}^{L O}

described by

$\left(\right.

…”

Section: Theoretical Schemementioning

confidence: 99%

“…By establishing the correlation among the polarization states of the multiple beams, one can also obtain the state analog to the N-qubit quantum state as shown in ref. [51]. Now, based on the understanding of classical correspondence with an N-qubit state, we construct a classical analogy of the product state of M quantum N-GHZ states jψi…”

Section: Source State Preparationmentioning

confidence: 99%

“…) is the vital one, and our solution is to use Mach-Zehnder interferometer (MZI) for homodyne detection, [51] specifically described as follows. For the E 0 n m with a specific a m , an ancillary beam…”

Section: Measurementmentioning

confidence: 99%

See 4 more Smart Citations

Distributed Phase Estimation at the Heisenberg Limit with Classical Light

Guo,

Sun,

Sun

et al. 2023

Advanced Photonics Research

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Quantum metrology, such as quantum phase estimation, can surpass classical sensing limits, reaching the Heisenberg‐scaling precision. So far, this kind of metrology has been thought to be only implementable with the quantum systems, which, however, are fragile to environmental noise and hardly contribute to the practical detections. Herein, it is demonstrated both theoretically and experimentally that the parameter encoded by the optical phase can also be estimated at the Heisenberg scaling in classical optics. Inspired by the quantum‐entanglement‐enhanced sensing scheme, the estimation is performed by using classically correlated beams as probes, and obtaining the probes readout after their interaction with the target system. Because the correlated beams considered are spatially separable, a distributed phase estimation scheme is given, which can sense the linear combinations of the phase shifts induced by distinct systems. The results of our experiments show an error reduction up to 3.89 dB below the classical limit when the correlated beam number for probing is 6, approaching the Heisenberg limit. Compared with quantum strategies, the proposal shows a better robustness against the environmental disturbance and keeps their performances even when the correlated beam number is relatively large. Hence, it indicates promising practical applications in the future.

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\text{|} E \left.\right) = c_{H} \text{|} h \left.\right) + c_{V} \text{|} v \text{) }

, which is analog to the quantum state of a two‐level system.…”

Section: Theoretical Schemementioning

confidence: 99%

“…By establishing the correlation among the polarization states of the multiple beams, one can also obtain the state analog to the N ‐qubit quantum state as shown in ref. [51].…”

Section: Theoretical Schemementioning

confidence: 99%

“…m - 1 \left.\right) N + 1}^{m N} v \cdot E_{n_{m}}^{'} d \Omega$ is the measurement value of

P_{\pm}^{m}

. Among the steps, obtaining the local projections

h \cdot E_{n_{m}}^{'}

(or

v \cdot E_{n_{m}}^{'}

) is the vital one, and our solution is to use Mach–Zehnder interferometer (MZI) for homodyne detection, [ 51 ] specifically described as follows. For the

E_{n_{m}}^{'}

with a specific

a_{m}

, an ancillary beam

E_{n_{m}}^{L O}

described by

$\left(\right.

…”

Section: Theoretical Schemementioning

confidence: 99%

Section: Source State Preparationmentioning

confidence: 99%

Section: Measurementmentioning

confidence: 99%

See 3 more Smart Citations

Distributed Phase Estimation at the Heisenberg Limit with Classical Light

Guo,

Sun,

Sun

et al. 2023

Advanced Photonics Research

Self Cite

View full text Add to dashboard Cite

show abstract

Realizing the effect of s-block metals on a charge transfer crystal of indol-2-one for enhanced NLO responses with efficient energetic offsets

Hassan,

Sumrra,

Mohyuddin

et al. 2024

J Mol Model

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Correlated optical convolutional neural network with “quantum speedup”

Sun,

Li,

Kong

et al. 2024

Light Sci Appl

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Compared with electrical neural networks, optical neural networks (ONNs) have the potentials to break the limit of the bandwidth and reduce the consumption of energy, and therefore draw much attention in recent years. By far, several types of ONNs have been implemented. However, the current ONNs cannot realize the acceleration as powerful as that indicated by the models like quantum neural networks. How to construct and realize an ONN with the quantum speedup is a huge challenge. Here, we propose theoretically and demonstrate experimentally a new type of optical convolutional neural network by introducing the optical correlation. It is called the correlated optical convolutional neural network (COCNN). We show that the COCNN can exhibit “quantum speedup” in the training process. The character is verified from the two aspects. One is the direct illustration of the faster convergence by comparing the loss function curves of the COCNN with that of the traditional convolutional neural network (CNN). Such a result is compatible with the training performance of the recently proposed quantum convolutional neural network (QCNN). The other is the demonstration of the COCNN’s capability to perform the QCNN phase recognition circuit, validating the connection between the COCNN and the QCNN. Furthermore, we take the COCNN analog to the 3-qubit QCNN phase recognition circuit as an example and perform an experiment to show the soundness and the feasibility of it. The results perfectly match the theoretical calculations. Our proposal opens up a new avenue for realizing the ONNs with the quantum speedup, which will benefit the information processing in the era of big data.

show abstract

Universal Classical Optical Computing Inspired by Quantum Information Process

Cited by 4 publications

References 63 publications

Distributed Phase Estimation at the Heisenberg Limit with Classical Light

Distributed Phase Estimation at the Heisenberg Limit with Classical Light

Realizing the effect of s-block metals on a charge transfer crystal of indol-2-one for enhanced NLO responses with efficient energetic offsets

Correlated optical convolutional neural network with “quantum speedup”

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