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SUMMARY:QSE Quantum Seminar: Mini algorithms-fest - John Martyn and Jonath
 an Lu
DTSTART:20251113T120000
DTEND:20251113T140000
DTSTAMP:20260416T080624Z
UID:0ad10b98b2af250372a430412134f6951ad6533abe8b97696f6c562a
CATEGORIES:Conferences - Seminars
DESCRIPTION:John Martyn Jonathan Lu\nPlease join us for the QSE Center 
 Quantum Seminar with John Martyn from Harvard University & Pacific Nor
 thwest National Lab (PNNL) who will give the talk "A Little Incoherence 
 Goes a Long Way: Enhancing Quantum and Classical Algorithms with Randomiza
 tion" and Jonathan Lu from MIT who will give the talk "Hamiltonian Decod
 ed Quantum Interferometry" on Thursday November 13 from 12:00pm to 2:00pm
 \nLocation: BS 160\n\nPizzas will be available at 12:00pm. The first talk
  will start at 12:10pm. All PhDs\, postdocs\, students\, group leaders\, a
 nd PIs are welcome to join us.\n\nABSTRACT:\n1. "A Little Incoherence Goe
 s a Long Way: Enhancing Quantum and Classical Algorithms with Randomizatio
 n" - John Martyn\nIn studying quantum systems\, either with quantum algo
 rithms or classical methods\, we typically focus on coherent unitary dyna
 mics. Decoherence arising from randomness or environmental noise is often
  viewed as detrimental\, and sought to be suppressed. In this talk\, I wil
 l demonstrate the opposite: incoherence\, in small doses\, is beneficial
  to both quantum and classical algorithms. I will illustrate this stat
 ement in two contexts. First\, in quantum algorithms based on quantum sign
 al processing\, I will show how using a randomized channel\, instead of th
 e standard deterministic one\, reduces costs (e.g.\, gate count) by 50%.
  Second\, in the context of neural-network quantum states\, I will prove 
 how using a variational mixed state representation\, instead of a pure st
 ate\, provides more accurate estimates of ground state observables. In ag
 gregate\, these results reveal the surprising utility of incoherence in qu
 antum information\, and suggest wider applications in algorithm developme
 nt. \n\n2. "Hamiltonian Decoded Quantum Interferometry" - Jonathan Lu\nWe
  introduce Hamiltonian Decoded Quantum Interferometry (HDQI)\, a quantum a
 lgorithm that utilizes coherent Bell measurements and the symplectic repre
 sentation of the Pauli group to reduce Gibbs sampling and Hamiltonian opti
 mization to classical decoding. For a degree-d polynomial P and Hamilto
 nian H\, HDQI prepares a density matrix proportional to P^2(H) by solvi
 ng a combination of two tasks: decoding weight-d errors on a classical c
 ode defined by H\, and preparing a pilot state that encodes the anti-comm
 utation structure of H.     Choosing P(x) to approximate exponentia
 ls yields Gibbs states\; other choices prepare approximate ground states\
 , microcanonical ensembles\, and other spectral filters.\nFor local Hamilt
 onians\, the corresponding decoding problem is that of LDPC codes. Prepari
 ng the pilot state is always efficient for commuting Hamiltonians\, but hi
 ghly non-trivial for non-commuting Hamiltonians. Nevertheless\, we prove t
 hat this state admits an efficient matrix product state representation for
  Hamiltonians whose anti-commutation graph decomposes into connected compo
 nents of logarithmic size. We show that HDQI efficiently prepares Gibbs st
 ates at arbitrary temperatures for a class of physically motivated commuti
 ng Hamiltonians—including the toric code and Haah's cubic code—but we 
 also develop a matching efficient classical algorithm for this task. For a
  non-commuting semiclassical spin glass and commuting stabilizer Hamiltoni
 ans with quantum defects\, HDQI prepares Gibbs states up to a constant inv
 erse-temperature threshold using polynomial quantum resources and quasi-po
 lynomial classical pre-processing. These results position HDQI as a versat
 ile algorithmic primitive\, and as the first extension of Regev's reductio
 n to non-abelian groups.\n\nBIOS:\nJohn Martyn is a Quantum Initiative Fel
 low at Harvard University\, and a Staff Scientist of Pacific Northwest Na
 tional Laboratory. In his research\, he explores the theoretical side of 
 quantum information\, with a focus on developing quantum and classical alg
 orithms for simulating physics and solving hard computational problems. H
 e recently received his PhD in physics from MIT\, advised by Isaac Chuan
 g\, during which he spent time interning at IBM Quantum and Google X. In t
 he beforetimes\, he received a BS in physics from the University of Maryla
 nd\, and worked as a student researcher at Caltech.\nJonathan Lu is a Ph.D
 . student in Applied Mathematics at MIT co-advised by Peter Shor and Misha
  Lukin. He works on algorithmic aspects of quantum coding theory\, especia
 lly in connection to quantum algorithms\, complexity\, and cryptography. R
 ecent work includes the use of error correction to devise new quantum phys
 ics algorithms\, and rigorous analyses of the average-case complexity of d
 ecoding quantum codes.
LOCATION:BS 160 https://plan.epfl.ch/?room==BS%20160
STATUS:CONFIRMED
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