Non-linear Boson Sampling

Abstract

Boson Sampling is a task that is conjectured to be computationally hard for a classical computer, but which can be efficiently solved by linear-optical interferometers with Fock state inputs. Significant advances have been reported in the last few years, with demonstrations of small- and medium-scale devices, as well as implementations of variants such as Gaussian Boson Sampling. Besides the relevance of this class of computational models in the quest for unambiguous experimental demonstrations of quantum advantage, recent results have also proposed the first applications for hybrid quantum computing. Here, we introduce the adoption of non-linear photon–photon interactions in the Boson Sampling framework, and analyze the enhancement in complexity via an explicit linear-optical simulation scheme. By extending the computational expressivity of Boson Sampling, the introduction of non-linearities promises to disclose novel functionalities for this class of quantum devices. Hence, our results are expected to lead to new applications of near-term, restricted photonic quantum computers.

Quantum squeezing in a nonlinear mechanical oscillator

“…Our results, in combination with the beamsplitter operation demonstrated in the same platform elsewhere 25 , complete the toolbox for universal continuous-variable quantum information processing and bosonic quantum simulation in HBARs. This opens up the possibility to use the large number of modes available in these devices for hardware-efficient quantum chemistry simulations 5,36 , as well as for nonlinear boson sampling 57 . Refining parametric processes with optimal control algorithms could also improve the operation speed and fidelity.…”

Holographic Gaussian Boson Sampling with Matrix Product States on 3D cQED Processors

“…34 For instance, if the ith node corresponds to a hydrogen bond donor− acceptor interaction, w i would be larger than for nodes representing weaker interactions (e.g., hydrophobic contacts). The weighting vector Ω is written as a diagonal matrix [diag(Ω) → Ω] and applied on both sides of A to generate a weighted graph adjacency matrix, as follows A A (16) generates a photon distribution defined by both A and Ω, as follows…”

“…BS has been implemented on a diverse array of hardware platforms, − offering versatility and potential in applications of chemical relevance. − Notably, BS has been applied to compute the vibronic spectra of triatomic molecules using 3D circuit quantum electrodynamics (cQED) processors , and to simulate molecular docking on photonic devices. − In fact, the initial BS sampling setup utilized optical photons. However, the efficient generation and detection of nonclassical light states pose significant challenges. , Here, we explore the use of microwave photons within the cQED architecture, offering a promising alternative technology with unique advantages for implementing BS.…”

Chaotic Image Encryption Based on Boson Sampling

“…[ 25 ] The research and analysis show that the BS probability equation is random and highly sensitive to the initial parameters. [ 35,36 ] In order to design a physically realizable quantum chaotic image encryption scheme, we fully explore the random unpredictable chaotic behavior of the BS output probability distribution, which can be regarded as a chaotic system generating random number sequences to encrypt digital images. The main contributions of this research are summarized as follows: 1)A BS‐based image encryption scheme is proposed using the random key sequence generated by the BS output probability distribution, which is highly sensitive to the input state and the circuit parameters. 2)A BS‐based image encryption prototype system is constructed on the programmable silicon photonic processor chip, implementing 5‐mode 2‐photon BS experiment, which is applied to the encryption of 4 × 4 gray‐scale images, demonstrating that the designed BS‐based image encryption scheme can be physically achievable, which improves the ability of using BS quantum hardware to solve practical application tasks in the NISQ era. 3)Large‐scale BS and image encryption with more pixels are simulated on the photonic quantum software platform–StrawberryFields, which further indicates the scalability and adaptability of the proposed scheme. …”