On the Wilsonian Meaning of Quantum Error Correction

被引：1

作者：

Gomez, Cesar ^{[1
]}

机构：

[1] Univ Autonoma Madrid, Inst Fis Teor UAM CSIC, Madrid 28049, Spain

来源：

FORTSCHRITTE DER PHYSIK-PROGRESS OF PHYSICS | 2021年 / 69卷 / 02期

关键词：

error beta function; quantum error correction; RENORMALIZATION-GROUP; CODES;

D O I：

10.1002/prop.202000094

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We sketch a recipe to define renormalization group transformations based on Kadanoff-Wilson block packing using a quantum error correction code. In such a case the RG transformations of the couplings are determined by the error matrix of the QEC code. In order to define the RG transformation of couplings we use Weinberg's sum rule for an error Kallen Lehman function. We define an error beta function that for holographic AdS codes is conjectured to be zero. For holographic codes the relation between Weinberg's sum rule for the error Kallen Lehman function and bulk locality is briefly discussed.

引用

页数：5

共 39 条

[1] A remark on the AdS/CFT correspondence and the renormalization group flow [J].

Akhmedov, ET .

PHYSICS LETTERS B, 1998, 442 (1-4) :152-158

[2] Bulk locality and quantum error correction in AdS/CFT [J].

Almheiri, Ahmed ;

Dong, Xi ;

Harlow, Daniel .

JOURNAL OF HIGH ENERGY PHYSICS, 2015, (04)

[3] Geometric holography, the renormalization group and the c-theorem [J].

Alvarez, E ;

Gómez, C .

NUCLEAR PHYSICS B, 1999, 541 (1-2) :441-460

[4]

[Anonymous], 1966, Physics Physique Fizika

[5] Spacetime and the holographic renormalization group [J].

Balasubramanian, V ;

Kraus, P .

PHYSICAL REVIEW LETTERS, 1999, 83 (18) :3605-3608

[6]

Bennett CH, 1996, PHYS REV A, V54, P3824, DOI 10.1103/PhysRevA.54.3824

[7] Good quantum error-correcting codes exist [J].

Calderbank, AR ;

Shor, PW .

PHYSICAL REVIEW A, 1996, 54 (02) :1098-1105

[8]

de Boer J, 2000, J HIGH ENERGY PHYS

[9] Tensor Network Renormalization [J].

Evenbly, G. ;

Vidal, G. .

PHYSICAL REVIEW LETTERS, 2015, 115 (18)

[10] THEORY OF EQUILIBRIUM CRITICAL PHENOMENA [J].

FISHER, ME .

REPORTS ON PROGRESS IN PHYSICS, 1967, 30 :615-+

← 1 2 3 4 →