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Proof obligation · P-PRIV

Transcribed bound: KLPR2022 Lemma 4 Eq. (6) and Eq. (11) (bound P-S2/priv).

s_money_kent_2022_realistic · A. Kent, D. Lowndes, D. Pitalua-Garcia, J. Rarity. Practical quantum tokens without quantum memories and experimental tests. npj Quantum Information 8, 28 (2022). doi:10.1038/s41534-022-00524-4

Status
UNSUPPORTEDNo theorem or evidence supports this obligation yet.
Game
S2
Anchor
—
Source file
proofs/OBLIGATIONS.yaml

Source and theorem

Transcribed bound: KLPR2022 Lemma 4 Eq. (6) and Eq. (11) (bound P-S2/priv). Outstanding obligation: statistical test of issuer location-inference advantage under the defined privacy game.

Citations

Record

Every field of the source record, in file order.

Protocolprotocol

s_money_kent_2022_realistic

Gamegame

S2

Sourcesource

KLPR2022

Assumptionsassumptions
  • As P-S2 Table 6 C-F (reporting strategy leaks nothing about W, z); Alice honest.
Finite n or asymptoticfinite_n_or_asymptotic

exact (Lemma 4)

Parametersparameters
beta_E: bias of Alice's bit z
M: log2 number of presentation points
Quantifier over adversariesquantifier_over_adversaries

any strategy of Bob before Alice's presentation, under Table 6 C-F

Mathematical boundmathematical_bound

Pr[Bob guesses b] <= 2^-M + eps_priv^M

Numerical methodnumerical_method

closed form

Verification scriptverification_script

qmint/proofs/finite_size.py (P-S2/priv); empirical privacy-game test pending

Independent crosscheckindependent_crosscheck

qmint/proofs/checker.py

Caveatscaveats
  • Privacy has NO theorem for W1, W1_CV, S1 (ideal; prose only), D1 (MAC hides merchant; no epsilon stated), A1, C1: the evaluator returns UNSUPPORTED with value None, never 0.
Statusstatus

UNSUPPORTED

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