• Publications
  • Influence
MIP* = RE
TLDR
It is proved that every problem that is recursively enumerable, including the Halting problem, can be efficiently verified by a classical probabilistic polynomial-time verifier interacting with two all-powerful but noncommunicating provers sharing entanglement.
Exploring entanglement and optimization within the Hamiltonian Variational Ansatz
TLDR
This paper focuses on a special family of quantum circuits called the Hamiltonian Variational Ansatz (HVA), which takes inspiration from the quantum approximation optimization algorithm and adiabatic quantum computation and exhibits favorable structural properties and numerically observes that the optimization landscape of HVA becomes almost trap free when the ansatz is over-parameterized.
Infinite Randomness Expansion and Amplification with a Constant Number of Devices
TLDR
A device-independent randomness expansion protocol, involving only a constant number of non-signaling quantum devices, that achieves infinite expansion that can produce an unbounded amount of certified randomness that is close to uniform and secure against a quantum adversary.
On the sum-of-squares degree of symmetric quadratic functions
TLDR
Three complexity-theoretic applications are described: a proof that the recent breakthrough lower bound of Lee, Raghavendra, and Steurer on the positive semidefinite extension complexity of the correlation and TSP polytopes cannot be improved further, and bounds on the query complexity of quantum algorithms whose expected output approximates such functions.
Quantum proof systems for iterated exponential time, and beyond
We show that any language solvable in nondeterministic time exp( exp(⋯exp(n))), where the number of iterated exponentials is an arbitrary function R(n), can be decided by a multiprover interactive
Parallel repetition for entangled k-player games via fast quantum search
TLDR
The first parallel repetition theorem for entangled games involving more than two players, and for games involving quantum outputs is obtained; in particular, this theorem gives a quadratic Grover speed-up for distributed search problems.
Robust Randomness Amplifiers: Upper and Lower Bounds
TLDR
It is shown that non-adaptive randomness amplifiers that are robust to noise cannot achieve more than doubly exponential expansion, and that a wide class of protocols based on the use of the CHSH game can only lead to (singly) exponential expansion if adversarial devices are allowed the full power of non-signaling strategies.
Perfect Zero Knowledge for Quantum Multiprover Interactive Proofs
TLDR
The main result is that the two classes are equal, i.e., MIP* = PZK-MIP*.
A quantum lower bound for distinguishing random functions from random permutations
  • H. Yuen
  • Computer Science, Mathematics
    Quantum Inf. Comput.
  • 10 October 2013
TLDR
The quantum query complexity of this problem is studied, and it is shown that any quantum algorithm that solves this problem with bounded error must make $\Omega(N^{1/5}/\log N)$ queries to the input function.
A parallel repetition theorem for all entangled games
  • H. Yuen
  • Physics
    Electron. Colloquium Comput. Complex.
  • 1 April 2016
TLDR
This paper gives the first proof that the entangled value of a parallel repeated game must converge to 0 for all games whose entangled value is less than 1.
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