All reports by Author Vahid Reza Asadi:

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TR22-177
| 7th December 2022
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Vahid Reza Asadi, Alexander Golovnev, Tom Gur, Igor Shinkar, Sathyawageeswar Subramanian#### Quantum Worst-Case to Average-Case Reductions for All Linear Problems

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TR22-020
| 18th February 2022
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Vahid Reza Asadi, Alexander Golovnev, Tom Gur, Igor Shinkar#### Worst-Case to Average-Case Reductions via Additive Combinatorics

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TR20-142
| 15th September 2020
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Vahid Reza Asadi, Igor Shinkar#### Relaxed Locally Correctable Codes with Improved Parameters

Vahid Reza Asadi, Alexander Golovnev, Tom Gur, Igor Shinkar, Sathyawageeswar Subramanian

We study the problem of designing worst-case to average-case reductions for quantum algorithms. For all linear problems, we provide an explicit and efficient transformation of quantum algorithms that are only correct on a small (even sub-constant) fraction of their inputs into ones that are correct on all inputs. This stands ... more >>>

Vahid Reza Asadi, Alexander Golovnev, Tom Gur, Igor Shinkar

We present a new framework for designing worst-case to average-case reductions. For a large class of problems, it provides an explicit transformation of algorithms running in time $T$ that are only correct on a small (subconstant) fraction of their inputs into algorithms running in time $\widetilde{O}(T)$ that are correct on ... more >>>

Vahid Reza Asadi, Igor Shinkar

Locally decodable codes (LDCs) are error-correcting codes $C : \Sigma^k \to \Sigma^n$ that admit a local decoding algorithm that recovers each individual bit of the message by querying only a few bits from a noisy codeword. An important question in this line of research is to understand the optimal trade-off ... more >>>