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20012026
most citedImproved Simulation of Stabilizer Circuits

1.5k citations · 3.7k across the 74 of their papers we have counts for

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Showing 2004Show all

8 papers · 1 filter

quant-ph2004

Quantum Computing, Postselection, and Probabilistic Polynomial-Time

Scott Aaronson

I study the class of problems efficiently solvable by a quantum computer, given the ability to "postselect" on the outcomes of measurements. I prove that this class coincides with…

quant-ph2004★ 22 cited

Limits on Efficient Computation in the Physical World

Scott Aaronson

More than a speculative technology, quantum computing seems to challenge our most basic intuitions about how the physical world should behave. In this thesis I show that, while som…

quant-ph2004★ 8 cited

Quantum Computing and Hidden Variables II: The Complexity of Sampling Histories

Scott Aaronson

This paper shows that, if we could examine the entire history of a hidden variable, then we could efficiently solve problems that are believed to be intractable even for quantum co…

quant-ph2004★ 48 cited

Quantum Computing and Hidden Variables I: Mapping Unitary to Stochastic Matrices

Scott Aaronson

This paper initiates the study of hidden variables from the discrete, abstract perspective of quantum computing. For us, a hidden-variable theory is simply a way to convert a unita…

cs.CC2004

The Complexity of Agreement

Scott Aaronson

A celebrated 1976 theorem of Aumann asserts that honest, rational Bayesian agents with common priors will never "agree to disagree": if their opinions about any topic are common kn…

quant-ph2004★ 1.5k cited

Improved Simulation of Stabilizer Circuits

Scott Aaronson, Daniel Gottesman

The Gottesman-Knill theorem says that a stabilizer circuit -- that is, a quantum circuit consisting solely of CNOT, Hadamard, and phase gates -- can be simulated efficiently on a c…