Magic state distillation with low space overhead and asymptotic input count
US10404287B2 · kind B2 · utility
Assignee
Inventors
Key dates
| Filing date | Jun 19, 2017 |
| Grant date | Sep 3, 2019 |
| Priority date | — |
| Expiry date | Jun 23, 2037 |
Classification
- Technology area (CPC H)Electricity
- CPC primaryH03M13/611
- WIPO fieldBasic communication processes
- WIPO sectorElectrical engineering
Abstract
Disclosed herein are example embodiments of protocols to distill magic states for T-gates. Particular examples have low space overhead and use an asymptotically optimal number of input magic states to achieve a given target error. The space overhead, defined as the ratio between the physical qubits to the number of output magic states, is asymptotically constant, while both the number of input magic states used per output state and the T-gate depth of the circuit scale linearly in the logarithm of the target error. Unlike other distillation protocols, examples of the disclosed protocol achieve this performance without concatenation and the input magic states are injected at various steps in the circuit rather than all at the start of the circuit. Embodiments of the protocol can be modified to distill magic states for other gates at the third level of the Clifford hierarchy, with the same asymptotic performance. Embodiments of the protocol rely on the construction of weakly self-dual Calderbank-Shor-Steane codes (“CSS codes”) with many logical qubits and large distance, allowing one to implement control-Swaps on multiple qubits. This code is referred to herein as the “inner code”. T…
Source: USPTO / EPO open patent data. Objective bibliographic and citation counts.