On the Counting of Quantum Errors

被引：0
|
作者：
Mokeev, A. S. [1 ]
机构：
[1] Russian Acad Sci, Steklov Math Inst, Moscow 119991, Russia
来源：
LOBACHEVSKII JOURNAL OF MATHEMATICS | 2022年 / 43卷 / 07期
基金：
俄罗斯科学基金会;
关键词：
quantum error-correction; quantum codes; non-commutative operator graphs;
D O I：
10.1134/S1995080222100298
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In the theory of quantum error correction, there are two very important types of subspaces, one is the non-commutative operator graph correspondent to the error and one is generated by the Kraus operators of the error. Dimensions of those subspaces could be considered as characteristics measuring the quality of the error-correcting scheme. In the present paper, we are discussing the relationship between these quantities.
引用
收藏
页码：1720 / 1725
页数：6
相关论文
共 50 条
  • [31] THE RELATIVE ERRORS OF BACTERIOLOGICAL PLATE COUNTING METHODS
    SNYDER, TL
    JOURNAL OF BACTERIOLOGY, 1947, 54 (05) : 641 - 654
  • [32] DETERMINING COUNTING ERRORS AIDED BY LIGHT PICKUPS
    KUPTSOV, AV
    KHAZINS, DM
    PRIBORY I TEKHNIKA EKSPERIMENTA, 1972, (03): : 82 - &
  • [33] Counting deaths due to medical errors - Reply
    Leape, LL
    Berwick, DM
    Bates, DW
    JAMA-JOURNAL OF THE AMERICAN MEDICAL ASSOCIATION, 2002, 288 (19): : 2405 - 2405
  • [34] COUNTING ERRORS IN AMPLITUDE SPECTROMETRY OF PULSES (SURVEY)
    IVANOV, VB
    SELDYAKOV, YP
    SHIPILOV, VI
    INSTRUMENTS AND EXPERIMENTAL TECHNIQUES, 1979, 22 (06) : 1491 - 1508
  • [35] OVERLAP AND ERRORS OF PLAQUE COUNTING .2. BIAS OF VARIANCE AND CONCEALMENT OF ERRORS
    HOWES, DW
    DESTGROT.SF
    JOURNAL OF HYGIENE-CAMBRIDGE, 1969, 67 (02): : 335 - &
  • [36] QUANTUM NONDEMOLITION MEASUREMENTS VIA QUANTUM COUNTING
    MILBURN, GJ
    WALLS, DF
    PHYSICAL REVIEW A, 1983, 28 (05): : 2646 - 2648
  • [37] Quantum phase estimation and quantum counting with qudits
    Tonchev, Hristo S.
    Vitanov, Nikolay V.
    PHYSICAL REVIEW A, 2016, 94 (04)
  • [38] Quantum errors corrected
    Andrew Steane
    Nature, 2004, 432 : 560 - 561
  • [39] Approximate counting and quantum computation
    Bordewich, M
    Freedman, M
    Lovász, L
    Welsh, D
    COMBINATORICS PROBABILITY & COMPUTING, 2005, 14 (5-6): : 737 - 754
  • [40] Counting by quantum eigenvalue estimation
    Mosca, M
    THEORETICAL COMPUTER SCIENCE, 2001, 264 (01) : 139 - 153
12345