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06/23/2023
Quantum Merlin-Arthur and proofs without relative phase
We study a variant of QMA where quantum proofs have no relative phase (i...
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05/26/2023
A useful inequality of inverse hyperbolic tangent
We prove an inequality related to arctanh, resolving a conjecture of Gu ...
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11/30/2022
On the power of nonstandard quantum oracles
We study how the choices made when designing an oracle affect the comple...
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10/06/2022
Random Max-CSPs Inherit Algorithmic Hardness from Spin Glasses
We study random constraint satisfaction problems (CSPs) in the unsatisfi...
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02/10/2022
Fair allocation of a multiset of indivisible items
We study the problem of allocating a set M of m indivisible items among ...
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10/27/2021
The Quantum Approximate Optimization Algorithm at High Depth for MaxCut on Large-Girth Regular Graphs and the Sherrington-Kirkpatrick Model
The Quantum Approximate Optimization Algorithm (QAOA) finds approximate ...
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09/22/2021
Bounds on approximating Max kXOR with quantum and classical local algorithms
We consider the power of local algorithms for approximately solving Max ...
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08/27/2021
An explicit vector algorithm for high-girth MaxCut
We give an approximation algorithm for MaxCut and provide guarantees on ...
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06/10/2021