MicroCloud Hologram Inc. Utilizes Matrix Product States to Achieve High-Precision Quantum State Preparation with Mirror-Symmetric Probability Distribution

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SHENZHEN, China, March 18, 2025 (GLOBE NEWSWIRE) -- MicroCloud Hologram Inc. (NASDAQ: HOLO), (“HOLO” or the "Company"), a technology service provider, announced the proposal of a new method based on Matrix Product States (MPS) that enables high-precision quantum state preparation with a mirror-symmetric probability distribution. This research not only reduces the entanglement of the probability distribution but also significantly improves the accuracy of the matrix product state approximation, resulting in a computational efficiency increase by two orders of magnitude.

This new technology adopts a shallow quantum circuit design, primarily composed of nearest-neighbor qubit gates, and features linear scalability with respect to the number of qubits, greatly enhancing its feasibility on current noisy quantum devices. Furthermore, the study found that in tensor networks, approximation accuracy mainly depends on the bond dimension, with minimal dependence on the number of qubits, laying the foundation for future large-scale adoption. This research not only provides innovative optimization methods in theory but also demonstrates superior precision in experimental tests, foreshadowing broad prospects for quantum computing in practical applications.

Probability distributions play a critical role in quantum computing. Many quantum algorithms rely on the efficient loading of probability distributions, such as quantum Monte Carlo methods, quantum financial modeling, and quantum machine learning. However, traditional methods for loading probability distributions often face high levels of entanglement, causing the depth of quantum circuits to increase rapidly. This leads to reduced computational efficiency and heightened susceptibility to quantum noise.

HOLO constructs quantum states based on Matrix Product States (MPS) and leverages mirror symmetry to optimize the loading of probability distributions. Mirror symmetry implies that the probability distribution can, to some extent, reduce redundant information through symmetric transformations, thereby lowering the system's entanglement. This optimization approach enables more efficient quantum state preparation in shallow quantum circuits, making it particularly suitable for current Noisy Intermediate-Scale Quantum (NISQ) computers.

MPS is a tensor network model commonly used in quantum information and computation. It represents high-dimensional probability distributions in a low-rank decomposed form, thus reducing computational complexity. By exploiting mirror symmetry, this study successfully reduced redundant parameters, improving the approximation accuracy of MPS by two orders of magnitude. This means that, under the same computational resource constraints, this method can load probability distributions more accurately than existing MPS approaches, thereby enhancing the overall performance of quantum algorithms.