Universal Two-Qubit Gate Pulse for Scalable Trapped-Ion Entangling
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Solution Overview
Problem
The increasing complexity of designing two-qubit entangling gates in trapped-ion quantum computers as the number of qubits grows, due to the quadratic increase in the number of qubit pairs, necessitates a method to reduce this complexity.
Innovation Solution
A universal gate pulse is designed using equi-spaced synthetic frequencies to perform entangling gate operations between arbitrary pairs of ions in an ion chain, independent of the chain length, by approximating phase-space and stabilization conditions.
Engineering Contradictions & Design Principles
Engineering Contradiction Analysis
1Manufacturing precision
If two-qubit entangling gates are designed and optimized separately for each pair of qubits, then the gate operation precision is improved, but the device complexity increases quadratically with the number of qubits
Solution Approach 1:
The patent applies universality by designing a single entangling gate pulse that can be applied to any pair of ions in the chain. The pulse is constructed to satisfy phase-space conditions for all motional modes simultaneously, making it universally applicable across different ion pairs without requiring separate optimization for each pair, thus reducing design complexity while maintaining operational precision
Solution Approach 2:
The patent changes the parameter space by working in phase-space representation and using equi-spaced synthetic frequencies to approximate the continuous frequency spectrum. This parameter transformation allows a single pulse design to satisfy conditions across all motional modes, resolving the contradiction between precision and complexity
2Device complexity
If a universal gate pulse is designed to work for all ion pairs, then the device complexity is reduced, but the manufacturing precision may be compromised due to approximations
Solution Approach 1:
The patent uses copying by creating a universal pulse template that can be applied to any ion pair. Instead of designing unique pulses for each pair, the same pulse function is copied and applied universally, with parameters adjusted only by ion position and frequency, maintaining precision while reducing complexity
Solution Approach 2:
The patent introduces an intermediary approach by using phase-space conditions and synthetic frequencies as intermediate representations. These intermediaries bridge the gap between the continuous physical system and the discrete pulse design, allowing universal application while maintaining accuracy through systematic approximation
Data Source
AI summary
A method for performing at least a portion of a computational process includes computing a pulse function of a pulse to be applied to a first pair of trapped ions in a first ion chain based on a phase-space condition, wherein the phase-space condition is derived using equi-spaced synthetic frequencies in a frequency interval that includes a range set by a highest and a lowest motional mode frequency of the first ion chain, generating the pulse based on the computed pulse function, and applying the generated pulse to each of a second pair of trapped ions in a second ion chain to perform an entangling gate operation between the second pair of trapped ions in the second ion chain.