Skip to content
Static snapshot of QMint (git 5b73a0bb93c1) — live experiments run locally
Research library

Theorem · T-KLPR22-LEMMA4

Kent et al. 2022 · Lemma 4

P03 · npj Quantum Inf. 8, 28 (published 2022-03-11); equations transcribed from the article HTML TeX source

Status
VERIFIED FROM SOURCEField read in the primary source at the anchor given.
Game
S2
Anchor
Lemma 4, eq.(6), main text PDF p.5-6; privacy definition p.3; Table 6 assumptions C, D, E, F
Source file
research/THEOREM_REGISTRY_SEED.yaml

Statement summary

QT1 and QT2 are eps_priv-private with eps_priv = beta_E.

Citations

Record

Every field of the source record, in file order.

Proof obligationproof_obligation
P-PRIV
Gamegame

S2

Source paper idsource_paper_id
P03
Source urlsource_url

https://doi.org/10.1038/s41534-022-00524-4

Anchoranchor

Lemma 4, eq.(6), main text PDF p.5-6; privacy definition p.3; Table 6 assumptions C, D, E, F

Statusstatus

VERIFIED_FROM_SOURCE

Bound latexbound_latex
\epsilon_{\mathrm{priv}}=\beta_{\mathrm{E}}
LaTeX source
Definitionsdefinitions
eps_priv: probability that Bob guesses Alice's bit-string b before she presents her token is <= 1/2^M
  + eps_priv, if Alice is honest and chooses b uniformly (p.3)
Variablesvariables
Caveatcaveat

Privacy depends on assumptions C-F (no side channels, detector symmetry). If those aren't met the privacy status is NOT_PROVEN. It doesn't become 0.

Verificationverification
statement_summary: VERIFIED_FROM_SOURCE
bound_latex: VERIFIED_FROM_SOURCE
definitions: VERIFIED_FROM_SOURCE

Related entries