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IEEE Silicon Photonics Conference (SiPhotonics)

Global optimization of universal unitary photonic integrated circuits

Rui Tang, Hanzhi Tang, Kazuhiro Ikeda, Makoto Okano, Kasidit Toprasertpong, Shinichi Takagi, Mitsuru Takenaka

Published Apr 15, 2024• 2 citations
Publisher

Abstract

Universal unitary photonic integrated circuits (PICs) can have widespread applications in optical communication, deep learning, and quantum information processing, due to their ability to perform arbitrary unitary transformations in the optical domain. While large-scale universal unitary PICs have been demonstrated, their performances are fundamentally sensitive to fabrication errors. In this work, we propose a method to compensate for the errors by adding extra MZI stages and globally optimizing all the phase shifts using a simulated annealing algorithm. Furthermore, we experimentally demonstrate its feasibility using a 4×4 universal unitary PIC fabricated on a Si-on-insulator (SOI) platform.

DOI
10.1109/siphotonics60897.2024.10544211

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Universal unitary photonic integrated circuits (PICs) can have widespread applications in optical communication, deep learning, and quantum information processing, due to their ability to perform arbitrary unitary transformations in the optical domain. While large-scale universal unitary PICs have been demonstrated, their performances are fundamentally sensitive to fabrication errors. In this work, we propose a method to compensate for the errors by adding extra MZI stages and globally optimizing all the phase shifts using a simulated annealing algorithm. Furthermore, we experimentally demonstrate its feasibility using a 4×4 universal unitary PIC fabricated on a Si-on-insulator (SOI) platform.
Programmable unitary transformations on integrated photonics platforms are becoming a powerful tool for quantum computing, machine learning, and optical communications. A major challenge is dealing with the fabrication errors of these circuits, which can degrade performance. One common approach uses a mesh of Mach-Zehnder interferometers (MZIs) to decompose arbitrary unitary transformations intoU(2)U(2)U(2)transformations [1]. While this architecture is mathematically clear and provides an explicit method for determining the phase shifts in each MZI, it is also sensitive to fabrication errors, and ongoing research is focused on finding ways to correct these errors.
The growing maturity of photonic integrated circuit (PIC) fabrication technology enables the high integration of an increasing number of optical components onto a single chip. With the incremental circuit complexity, the calibration of active phase shifters in a large-scale PIC becomes a crucial issue. The traditional one-by-one calibration techniques encounter significant hurdles with the propagation of calibration errors, and achieving the decoupling of all phase shifters for independent calibration is not straightforward. To address this issue, we propose a global calibration approach for large-scale PIC. Our method utilizes a custom network to simultaneously learn the nonlinear phase-current relations for all thermo-optic phase shifters on the PIC by minimizing the negative likelihood of the measurement datasets. Moreover, the reflectivities of all static beam splitter components can also be synchronizedly extracted using this calibration method. As an example, a quantum walk PIC with a circuit depth of 12 is calibrated, and a programmable discrete-time quantum walk is experimentally demonstrated. These results will greatly benefit the applications of large-scale PICs in photonic quantum information processing.
There has been a strong interest to translate optical quantum technologies into photonic integrated circuits (PICs) as they could provide a stable, compact, and potentially scalable architecture for generating, manipulating, and measuring optical quantum states. Among the various PIC technologies that are being developed, silicon-on-insulator (SOI) PICs have several advantages, including technologically mature foundry fabrication, CMOS-process integration, and high-performance switches, modulators, polarization control, filters, and other essential optical components. However, several components are missing that are needed for quantum information processing tasks. Here, we describe recent progress on augmenting SOI PICs with essential capabilities for photonic quantum technologies — entangled photon sources, single photon detectors, and reconfigurable linear optics unitary transformations — and focus on two central application areas: quantum communications and quantum simulation.
Abstract : Photons play a central role in many areas of quantum information processing and quantum sensing, ranging from linear optics quantum computing and quantum simulation to quantum communications. A central problem in many of these applications is the need to control many spatial and temporal modes with high efficiency and precision. Photonic integrated circuits can contain closely-spaced and extremely phase-stable components that enable precision control of many spatial and temporal modes in dielectric waveguides. This program developed photonic integrated circuits (PICs) based on the silicon-on-insulator platform. We developed large-scale PICs with cascaded Mach-Zehnder interferometers (MZI) with precision electro-optic modulators. These PICs have very low internal losses (0.1 dB/MZI) and achieve exceptionally high contrast interference ( 80 dB) over tens of spatial modes. These fully programmable mode transformers have driven experimental and theoretical advances in quantum simulation, cluster-state quantum computing, all-optical quantum repeaters, neuromorphic computing, and other applications. In addition, we developed new schemes for ballistic quantum computation, new methods for high-efficiency single photon sources, a new approach for 3-photon cluster state generation that forms the essential ingredient for percolation-based generation of scalable cluster states, and quantum logic gates based on weak optical nonlinearities.
Photonic integrated circuits (PICs) are a technology with a growing interest in a wide range of applications in quantum information, from computation to communications and sensing. Amongst the various types of PICs, universal quantum photonic processors (UQPPs) are programmable photonic integrated circuits on which any arbitrary unitary transformation can be implemented on a given input quantum photonic state, sometimes also referred to as quantum photonic FPGAs. Various kinds of UQPPs have been reported, mostly with a reconfigurable Mach-Zehnder interferometer (MZI) as building block, in photonic platforms ranging from silicon nitride to glass-based direct laser writing. Among them, femtosecond laser writing (FLW) is a versatile fabrication technique that allows for cost-effective fabrication of waveguides in glass substrates with low insertion losses (down to 0.1 dB cm−1 for the propagation and 0.2 dB per facet for the coupling) over a wide wavelength range, a key requirement for quantum applications. Moreover, FLW allows for the fabrication of microstructures in the substrate such as trenches, which can act as thermal isolation structures that significantly reduce the power dissipation of thermal phase shifters and their thermal crosstalk. In this work, firstly we present the fabrication of a 6-mode FLW-UQPP in a rectangular MZI mesh layout operating at 785 nm with average amplitude fidelity as high as 0.9963 when implementing switching unitaries and 0.9979 when implementing Haar random unitaries. Secondly, we demonstrate the versatility of the FLW platform by fabricating another 6-mode UQPP with waveguides optimized for operation at 1550 nm wavelength, with similar performance, on which we repeated the implementation of Haar random unitaries with 0.9969 average amplitude fidelity.
We propose and analyze the design of a programmable photonic integrated circuit for high-fidelity quantum computation and simulation. We demonstrate that the reconfigurability of our design allows us to overcome two major impediments to quantum optics on a chip: it removes the need for a full fabrication cycle for each experiment and allows for compensation of fabrication errors using numerical optimization techniques. Under a pessimistic fabrication model for the silicon-on-insulator process, we demonstrate a dramatic fidelity improvement for the linear optics controlled-not and controlled-phase gates and, showing the scalability of this approach, the iterative phase estimation algorithm built from individually optimized gates. We also propose and simulate an experiment that the programmability of our system would enable: a statistically robust study of the evolution of entangled photons in disordered quantum walks. Overall, our results suggest that existing fabrication processes are sufficient to build a quantum photonic processor capable of high-fidelity operation.