Compressing Diagonal Clifford Gates for Magic State Distillation
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Solution Overview
Problem
Current magic state distillation protocols in quantum computing are costly and resource-intensive due to the need for frequent classical feedback and high circuit depth, especially when using Clifford gates for error correction.
Innovation Solution
The implementation of a method that separates the T state consumption phase from the Clifford correction phase, allowing for a single instance of classical feedback and the application of compressed diagonal Clifford gates to reduce circuit depth and resource usage, thereby improving the efficiency of magic state distillation.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Reliability
If current magic state distillation protocols are used with Clifford gates for error correction, then quantum error correction can be achieved with low error architecture, but the process becomes costly and resource-intensive with high circuit depth
Solution Approach 1:
The patent divides the magic state distillation protocol into distinct phases: T-state consumption phase and Clifford correction phase. This segmentation allows each phase to be optimized independently, reducing overall circuit depth while maintaining error correction capabilities through targeted application of Clifford gates.
Solution Approach 2:
The patent performs preliminary T-state consumption and measurement before applying Clifford corrections. By preparing and measuring T-states in advance, the system reduces the complexity of real-time error correction during the main computational process, lowering circuit depth requirements.
2Reliability
If current magic state distillation protocols are used, then magic states can be distilled with high fidelity, but the number of classical feedback instances increases process time and resource consumption
Solution Approach 1:
The patent merges multiple classical feedback operations into a single consolidated feedback instance by combining T-state consumption and Clifford correction phases. This reduces the cumulative time overhead of repeated feedback loops while maintaining the ability to achieve high-fidelity magic states through the integrated process.
3Reliability
If frequent classical feedback is used in magic state distillation, then error correction can be performed accurately, but resource consumption and operational cost increase significantly
Solution Approach 1:
The patent enables continuous T-state consumption and measurement operations without interrupting for classical feedback, maintaining productive quantum operations. The Clifford correction phase is then applied continuously based on accumulated measurement results, ensuring error correction accuracy without frequent interruptions that would reduce distillation efficiency.
Data Source
AI summary
Embodiments of the present disclosure include systems and methods for magic state distillation. A first matrix is generated based on a collection of indices that reference a second matrix. A set of compressed Clifford gates is determined based on the first matrix. The set of compressed Clifford gates is applied to a set of the qubits of a quantum processor. A set of magic states of the quantum processor are obtained as a result of application of the set of compressed Clifford gates. The quantum processor may be configured based on the magic states obtained.