Skip to content

Commit 150d608

Browse files
author
Tamara
committed
RAW 2411.08955
1 parent 16b7a01 commit 150d608

3 files changed

Lines changed: 26 additions & 25 deletions

File tree

codes/quantum/qubits/majorana/majorana_stab.yml

Lines changed: 1 addition & 0 deletions
Original file line numberDiff line numberDiff line change
@@ -17,6 +17,7 @@ description: |
1717
1818
Codes can be denoted as \([[n,k,d]]_{f}\) \cite{arxiv:1703.00459}, where \(n\) is the number of fermionic modes (equivalently, \(2n\) Majorana modes).
1919
Two copies of an \(n\)-Majorana mode code may be combined to form a single \(n\)-fermion code by using one copy for the real parts of each fermion, and the other copy for the imaginary parts \cite{arxiv:2411.08955}.
20+
More generally, an odd-length weakly self-dual CSS code can be converted into a complex-fermion code by replacing qubit \(Z\)-type and \(X\)-type operators with \(\gamma\)-type and \(\tilde{\gamma}\)-type Majorana operators, respectively \cite{arxiv:2411.08955}.
2021
Codes that admit a logical operator of even (odd) weight are called even (odd) Majorana codes \cite{arxiv:2508.09928}.
2122
Even Majorana codes encode logical qubits, and odd Majorana codes have at least one logical Majorana fermion.
2223

codes/quantum/qubits/majorana/mbq/kitaev_chain.yml

Lines changed: 1 addition & 1 deletion
Original file line numberDiff line numberDiff line change
@@ -32,7 +32,7 @@ protection: |
3232
3333
features:
3434
general_gates:
35-
- 'Braiding, fermionic Hadamard, \(S\), and \(T\) gates, fermion \(CZ_f\), and mixed qubit-fermion \(CZ_{qf}\) gates are described for logical fermions encoded in this repetition code \cite{arxiv:2411.08955}.'
35+
- 'Braiding, \(S\), and \(T\) phase gates, fermion \(CZ_f\), and mixed qubit-fermion \(CZ_{qf}\) gates are described for logical fermions encoded in this repetition code \cite{arxiv:2411.08955}.'
3636
decoders:
3737
- 'Local automaton decoder based on self-dual cellular automaton \cite{arxiv:1711.08196}.'
3838
- 'Syndrome extraction of the stabilizers \(S_j=i\gamma_{2j}\gamma_{2j+1}\) can be performed by interfacing with a qubit ancilla and mixed qubit-fermion gates \cite{arxiv:2411.08955}.'

resources/arxiv_ids_source.txt

Lines changed: 24 additions & 24 deletions
Original file line numberDiff line numberDiff line change
@@ -55,7 +55,7 @@ quant-ph/9605021 14 S READ
5555
2410.14662 13 S READ
5656
2410.16250 13 S READ
5757
2411.04993 13 S READ
58-
2411.08955 13 S
58+
2411.08955 13 S READ
5959
quant-ph/0012111 13 S
6060
quant-ph/0410199 13 S
6161
quant-ph/9703048 13 S
@@ -480,36 +480,36 @@ quant-ph/9906129 5 S
480480
2009.13551 4 S
481481
2010.06628 4 S
482482
2010.07902 4 S
483-
2012.02249 4
484-
2012.04610 4
485-
2012.14001 4
486-
2103.02202 4
487-
2103.06994 4
488-
2106.12989 4
489-
2109.12735 4
490-
2111.06360 4
491-
2111.08894 4
492-
2112.01647 4
493-
2112.02137 4
494-
2112.03785 4
495-
2201.07802 4
496-
2201.11658 4
497-
2202.06647 4
498-
2203.03581 4
499-
2204.10812 4
500-
2206.03122 4
501-
2208.05537 4
502-
2209.06202 4
483+
2012.02249 4 S
484+
2012.04610 4 S
485+
2012.14001 4 S
486+
2103.02202 4 S
487+
2103.06994 4 S
488+
2106.12989 4 S
489+
2109.12735 4 S
490+
2111.06360 4 S
491+
2111.08894 4 S
492+
2112.01647 4 S
493+
2112.02137 4 S
494+
2112.03785 4 S
495+
2201.07802 4 S
496+
2201.11658 4 S
497+
2202.06647 4 S
498+
2203.03581 4 S
499+
2204.10812 4 S
500+
2206.03122 4 S
501+
2208.05537 4 S
502+
2209.06202 4 S
503503
2209.09390 4
504-
2209.11405 4
505-
2211.05714 4
504+
2209.11405 4 S
505+
2211.05714 4 S
506506
2211.05784 4
507507
2211.08448 4
508508
2211.11777 4
509509
2303.02432 4
510510
2303.17211 4
511511
2304.08611 4
512-
2305.13581 4
512+
2305.13581 4 S
513513
2307.13296 4
514514
2308.03750 4
515515
2308.05152 4

0 commit comments

Comments
 (0)