53 citations · 67 across the 7 of their papers we have counts for
8 papers
Parallel repetition with a threshold in quantum interactive proofs
Abel Molina
In this note, we show that rounds of parallel repetition with a threshold suffice to reduce completeness and soundness error to for single-prover quantum intera…
Analysis of a Poisson-picking symmetric winners-take-all game with randomized payoffs
Abel Molina
Winners-take-all situations introduce an incentive for agents to diversify their behavior, since doing so will result in splitting an eventual price with fewer people. At the same…
Revisiting the simulation of quantum Turing machines by quantum circuits
Abel Molina, John Watrous
Yao (1993) proved that quantum Turing machines and uniformly generated quantum circuits are polynomially equivalent computational models: steps of a quantum Turing machi…
POVMs are equivalent to projections for perfect state exclusion of three pure states in three dimensions
Abel Molina
Performing perfect/conclusive quantum state exclusion means to be able to discard with certainty at least one out of n possible quantum state preparations by performing a measureme…
Quantum hedging in two-round prover-verifier interactions
Srinivasan Arunachalam, Abel Molina, Vincent Russo
We consider the problem of a particular kind of quantum correlation that arises in some two-party games. In these games, one player is presented with a question they must answer, y…
Parallel Repetition of Prover-Verifier Quantum Interactions
Abel Molina
In this thesis, we answer several questions about the behaviour of prover-verifier interactions under parallel repetition when quantum information is allowed, and the verifier acts…
Optimal counterfeiting attacks and generalizations for Wiesner's quantum money
Abel Molina, Thomas Vidick, John Watrous
We present an analysis of Wiesner's quantum money scheme, as well as some natural generalizations of it, based on semidefinite programming. For Wiesner's original scheme, it is det…
Hedging bets with correlated quantum strategies
Abel Molina, John Watrous
This paper studies correlations among independently administered hypothetical tests of a simple interactive type, and demonstrates that correlations arising in quantum information…