Transversal Clifford gates on folded surface codes
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
Surface and color codes are two forms of topological quantum error correction in two spatial dimensions with complementary properties. Surface codes have lower-depth error detection circuits and well-developed decoders to interpret and correct errors, while color codes have transversal Clifford gates and better code efficiency in the number of physical qubits needed to achieve a given code distance. A formal equivalence exists between color codes and folded surface codes, but it does not guarantee the transferability of any of these favorable properties. However, the equivalence does imply the existence of constant-depth circuit implementations of logical Clifford gates on folded surface codes. We achieve and improve this result by constructing two families of folded surface codes with transversal Clifford gates. This construction is presented generally for qudits of any dimension. Lastly, the specific application of these codes to universal quantum computation based on qubit fusion is also discussed.
- Research Organization:
- Sandia National Lab. (SNL-NM), Albuquerque, NM (United States)
- Sponsoring Organization:
- USDOE National Nuclear Security Administration (NNSA)
- Grant/Contract Number:
- AC04-94AL85000
- OSTI ID:
- 1333573
- Alternate ID(s):
- OSTI ID: 1328723
- Report Number(s):
- SAND-2016-2005J; PLRAAN; 619860; TRN: US1700128
- Journal Information:
- Physical Review A, Vol. 94, Issue 4; ISSN 2469-9926
- Publisher:
- American Physical Society (APS)Copyright Statement
- Country of Publication:
- United States
- Language:
- English
Web of Science
Error rates and resource overheads of encoded three-qubit gates
|
journal | October 2017 |
The surface code with a twist
|
journal | April 2017 |
The boundaries and twist defects of the color code and their applications to topological quantum computation
|
journal | October 2018 |
Error rates and resource overheads of encoded three-qubit gates | text | January 2017 |
The boundaries and twist defects of the color code and their applications to topological quantum computation | text | January 2018 |
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