# Mancinska: Unbounded entanglement can be needed to achieve the optimal success probability

Monday, June 9, 2014 — 2:30 PM to 3:30 PM EDT

## Laura Mancinska, Centre for Quantum Technologies, Singapore

Quantum entanglement is known to provide a strong advantage in many two-party distributed tasks. We investigate the question of how much entanglement is needed to reach optimal performance. For the first time we show that there exists a purely classical scenario for which no finite amount of entanglement suffices. To this end we introduce a simple two-party nonlocal game $H$, inspired by Hardy's paradox. In our game each player has only two possible questions and can provide bit strings of any finite length as answer. We exhibit a sequence of strategies which use entangled states in increasing dimension $d$ and succeed with probability $1-O(d^{-c})$ for some $c\geq 0.13$. On the other hand, we show that any strategy using an entangled state of local dimension $d$ has success probability at most $1-\Omega(d^{-2})$. In addition, we show that any strategy restricted to producing answers in a set of cardinality at most $d$ has success probability at most $1-\Omega(d^{-2})$. (This is joint work with Thomas Vidick.)

Location
QNC - Quantum Nano Centre
1506
200 University Avenue West

Waterloo, ON N2L 3G1

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