Stochastic Multiplexed Quantum Rotation Compilation for Lower Qubit Count
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Solution Overview
Problem
Current methods for compiling multiplexed quantum rotations into primitive quantum gates require significant quantum memory and ancillary qubits, especially when minimizing non-Clifford gates, which is a bottleneck for scalable quantum computing.
Innovation Solution
A method is introduced that reduces the quantum-memory requirement by using a randomized compilation strategy for multiplexed rotations, approximating the ideal rotations through a carefully chosen distribution of random bit strings, thereby reducing the number of qubits needed.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Measurement precision
If deterministic compilation methods are used to minimize non-Clifford gates, then gate accuracy is improved, but quantum memory requirements and ancillary qubit count increase significantly
Solution Approach 1:
The patent changes the compilation approach from deterministic to randomized, using a probability distribution over bit strings to represent rotation angles. This parameter change allows approximate rotations with fewer qubits, trading exactness for reduced quantum resource requirements. The randomized compilation uses classical randomness to select from multiple possible rotation sequences, achieving acceptable accuracy with reduced ancillary qubit overhead.
Solution Approach 2:
The patent employs disposable ancillary qubits that are prepared, used for the randomized compilation process, and then discarded or reset. Instead of maintaining large numbers of ancillary qubits throughout the computation, the method uses temporary qubits that serve their purpose in the randomized rotation approximation and can be reused or replaced, effectively reducing the peak qubit count requirement.
2Ease of manufacture
If more ancillary qubits are allocated, then non-Clifford gate minimization is improved, but device complexity increases
Solution Approach 1:
The patent extracts the complexity of exact rotation compilation by separating the deterministic gate synthesis from the randomized selection process. The complex non-Clifford gate minimization is performed once to create a library of approximate rotation sequences, which are then selected using simple classical randomness. This extraction allows the system to achieve good compilation efficiency without requiring complex real-time control of numerous ancillary qubits.
3Quantity of substance
If randomized compilation is used, then quantum memory requirements are reduced, but rotation precision decreases
Solution Approach 1:
The patent applies partial action by using approximate rotations instead of exact rotations. The randomized compilation selects from sequences that provide sufficient accuracy for the computational task at hand, rather than guaranteeing maximum precision. This partial approach to rotation accuracy enables significant reductions in quantum memory requirements while maintaining adequate performance for practical quantum algorithms.
Data Source
AI summary
A quantum-computation method comprises (a) sampling a random bit string from a predetermined distribution of bit strings, where each bit of the random bit string enables or disables a corresponding fixed-angle rotation of a state vector and where the product of the enabled fixed-angle rotations approximates an arbitrary rotation of the state vector through an angle of a multiplexed-rotation gate; and (b) enacting on the state vector each of the fixed-angle rotations enabled by a corresponding bit of the bit string.