Fast classical simulation of qubit-qudit hybrid systems

• URL: http://arxiv.org/abs/2410.17876v1
• Date: Wed, 23 Oct 2024 13:49:25 GMT
• Title: Fast classical simulation of qubit-qudit hybrid systems
• Authors: Haemanth Velmurugan, Arnav Das, Turbasu Chatterjee, Amit Saha, Anupam Chattopadhyay, Amlan Chakrabarti,
• Abstract summary: Simulating quantum circuits is a computationally intensive task that relies heavily on tensor products and matrix multiplications. Recent advancements, eliminate the need for tensor products and matrix multiplications, offering significant improvements in efficiency and parallelization. We propose a block-simulation methodology applicable to qubit-qudit hybrid systems.
• Score: 6.116156387681214
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• Abstract: Simulating quantum circuits is a computationally intensive task that relies heavily on tensor products and matrix multiplications, which can be inefficient. Recent advancements, eliminate the need for tensor products and matrix multiplications, offering significant improvements in efficiency and parallelization. Extending these optimizations, we adopt a block-simulation methodology applicable to qubit-qudit hybrid systems. This method interprets the statevector as a collection of blocks and applies gates without computing the entire circuit unitary. Our method, a spiritual successor of the simulator QuDiet \cite{Chatterjee_2023}, utilizes this block-simulation method, thereby gaining major improvements over the simulation methods used by its predecessor. We exhibit that the proposed method is approximately 10$\times$ to 1000$\times$ faster than the state-of-the-art simulator for simulating multi-level quantum systems with various benchmark circuits.

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