Details
| Original language | English |
|---|---|
| Publication status | E-pub ahead of print - 27 Jan 2022 |
Abstract
Keywords
- quant-ph, hep-th, math-ph, math.MP, math.OA, 81T17, 81T05, 81T25, 81T27, 81-10, 42C40
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2022.
Research output: Working paper/Preprint › Preprint
}
TY - UNPB
T1 - Anyon braiding and the renormalization group
AU - Stottmeister, Alexander
N1 - 5 pages, 5 figures
PY - 2022/1/27
Y1 - 2022/1/27
N2 - A braiding operation defines a real-space renormalization group for anyonic chains. The resulting renormalization group flow can be used to define a quantum scaling limit by operator-algebraic renormalization. It is illustrated how this works for the Ising chain, also known as transverse-field Ising model. In this case, the quantum scaling limit results in the vacuum state of the well-known Ising CFT. Distinguishing between the braiding and its inverse is directly related to the chiral sectors of the Ising CFT. This has direct implications for the simulation of CFTs on topological quantum computers.
AB - A braiding operation defines a real-space renormalization group for anyonic chains. The resulting renormalization group flow can be used to define a quantum scaling limit by operator-algebraic renormalization. It is illustrated how this works for the Ising chain, also known as transverse-field Ising model. In this case, the quantum scaling limit results in the vacuum state of the well-known Ising CFT. Distinguishing between the braiding and its inverse is directly related to the chiral sectors of the Ising CFT. This has direct implications for the simulation of CFTs on topological quantum computers.
KW - quant-ph
KW - hep-th
KW - math-ph
KW - math.MP
KW - math.OA
KW - 81T17, 81T05, 81T25, 81T27, 81-10, 42C40
M3 - Preprint
BT - Anyon braiding and the renormalization group
ER -