FAST AMPLIFICATION OF QMA
Abbreviated Journal Title
Quantum Inform. Comput.
QMA; amplification; witness-reusing; phase estimation; Jordan's lemma; Computer Science, Theory & Methods; Physics, Particles & Fields; Physics, Mathematical
Given a verifier circuit for a problem in QMA, we show how to exponentially amplify the gap between its acceptance probabilities in the 'yes' and 'no' cases, with a method that is quadratically faster than the procedure given by Marriott and Watrous . Our construction is natively quantum, based on the analogy of a product of two reflections and a quantum walk. Second, in some special cases we show how to amplify the acceptance probability for good witnesses to 1, making a step towards the proof that QMA with one-sided error (QMA(1)) is equal to QMA. Finally, we simplify the filter-state method to search for QMA witnesses by Poulin and Wocian .
Quantum Information & Computation
"FAST AMPLIFICATION OF QMA" (2009). Faculty Bibliography 2000s. 1939.