Chip-to-Chip High-Dimensional Teleportation via A Quantum Autoencoder

Abstract

Quantum teleportation transfers unknown quantum states from one node in a quantum network to another. It is one of the crucial architectures in quantum information processing. The teleportation of high-dimensional quantum states remains challenging due to the difficulties in executing high-dimensional Bell state measurement. Here, we propose a Quantum Autoencoder-Facilitated Teleportation (QAFT) protocol for high-dimensional quantum teleportation, and report the first demonstration of QAFT on qutrits using an integrated photonic platform for future scalability. The key strategy is to reduce the dimension of the input states by erasing redundant information and reconstruct its initial state after chip-to-chip teleportation. Machine learning is applied in training the autoencoder to facilitate the teleportation of any state from a particular high-dimensional subspace and achieve the reconstruction of the unknown state (by the decoder) with high fidelities (~ 0.971). Experimentally, we teleport unknown qutrits by generating, transferring and manipulating photons, and training quantum autoencoders on a silicon chip. A teleportation fidelity of ~ 0.894 is demonstrated. Our scheme opens pathway towards quantum internet and cryptography to transfer unmeasured states in a quantum computer. It also lays the groundwork for machine learning technologies in quantum networks and quantum computations.

Resource-efficient high-dimensional subspace teleportation with a quantum autoencoder

“…S8. Following procedures previously described in ( 70 ), we bond the chip to a printed circuit board and provide independent control of each phase shifter by an electronic current driver with 1-kHz frequency and 12-bit resolution (Qontrol Devices Inc.). Laser pulses are generated by an Ultrafast Optical Clock device (PriTel Inc.) with a repetition rate of 500 MHz, a central wavelength of 1550.12 nm, and a bandwidth of 2 nm.…”

“…The FSRs for the pump filter (FSR pump ) and the signal/idler filter (FSR signal ) are 11.62 and 23.40 nm, respectively. The average extinction ratio for AMZI is more than 25 dB ( 70 ).…”

“…The one-dimensional grating coupler is not adoptable here because it rejects the TM mode at an extinction ratio of ~20 dB. A polarization controller is placed between the transmitter circuit and the receiver circuit, and the polarization alignment of the two circuits is done by sending ∣0⟩ and ∣1⟩ as the calibration references ( 70 ).…”

Recent Advances for Quantum Neural Networks in Generative Learning

“…Quantum states reconstruction. Analogous to classical autoencoders, QAEs have been used to reconstruct quantum states, which is important in quantum communications [129,252]. Particularly, Wan et al [129] proposed a theoretical scheme to realize the quantum-neural-based QAEs and suggested a quantum communication protocol.…”

“…Numerical experiments on reconstructing the thermal states of the TFI model and Werner states have verified the feasibility of A-QAE. Zhang et al [252] first illustrated a QAE implementation on a silicon phonic chip, which facilitates the execution of a quantum-autoencoderfacilitated teleportation (QAFT) protocol. With QAFT, some high dimensional quantum states (e.g.…”