Search Results for author: Justin Yirka

Found 3 papers, 3 papers with code

Oracle complexity classes and local measurements on physical Hamiltonians

1 code implementation12 Sep 2019 Sevag Gharibian, Stephen Piddock, Justin Yirka

Perhaps surprisingly, [Ambainis, CCC 2014] showed that the related, but arguably more natural, problem of simulating local measurements on ground states of local Hamiltonians (APX-SIM) is likely harder than QMA.

Quantum Physics Computational Complexity

Quantum generalizations of the polynomial hierarchy with applications to QMA(2)

1 code implementation28 May 2018 Sevag Gharibian, Miklos Santha, Jamie Sikora, Aarthi Sundaram, Justin Yirka

The polynomial-time hierarchy ($\mathrm{PH}$) has proven to be a powerful tool for providing separations in computational complexity theory (modulo standard conjectures such as $\mathrm{PH}$ does not collapse).

Computational Complexity Quantum Physics 68Q12, 68Q15, 81P68, 03D15 F.1.3

The complexity of simulating local measurements on quantum systems

1 code implementation17 Jun 2016 Sevag Gharibian, Justin Yirka

An important task in quantum physics is the estimation of local quantities for ground states of local Hamiltonians.

Quantum Physics Strongly Correlated Electrons Computational Complexity

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