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BEGIN:VEVENT
DTSTAMP:20261018T123018Z
LAST-MODIFIED:20190211T192933Z
DTSTART:20190401T181500Z
DTEND:20190401T191500Z
UID:event2115@bu.edu
URL:http://physics.bu.edu/internal/events/show/2115
SUMMARY:ENTANGLEMENT COMPLEXITY OF QUANTUM STATES\, DYNAMICS AND QUANTUM CO
	MPUTATION
DESCRIPTION:Featuring Zhicheng Yang\n\nPart of the PhD Final Oral Exams.\n\
	nExamining Committee:  Claudio Chamon\, Andrei Ruckenstein\, Anatoli Polkov
	nikov\, Michael El-Batanouny\, So-Young Pi\n\nAbstract:\nQuantum entangleme
	nt has become the key notion bridging originally distinct\nelds of research
	 over the last decade\, namely\, quantum information and computation\,\ncon
	densed matter physics\, and quantum gravity. Previous studies on quantum\ne
	ntanglement have largely focused on the entanglement entropy\, which quanti
	es the\namount of entanglement. However\, a natural question arises: is the
	re additional information\nof a quantum state that is not captured by the e
	ntanglement entropy alone?\nFor ground states of gapped Hamiltonians\, this
	 question has been answered in the\narmative. In this dissertation\, I exte
	nd this idea to study highly entangled states\ntypically having volume law 
	entropy\, and demonstrate that there is indeed much\nricher information on 
	the complexity of a quantum state beyond the entanglement\nentropy.\nIn the
	 rst part\, I study the entanglement spectrum of highly entangled states\nc
	orresponding to highly excited eigenstates of non-integrable Hamiltonians\,
	 timeevolved\nstates after a quantum quench with Hamiltonians exhibiting di
	erent dynamical\nphases\, and random unitary circuits consisting of random 
	braids of non-Abelian\nanyons. I demonstrate that the entanglement spectrum
	 is able to capture the degree\nof randomness of a quantum state\, which we
	 call the entanglement complexity.\n\nIn the context of scrambling\, this q
	uanties the degree of randomness produced by\nscrambling beyond entropic di
	agnostics.\nOur understanding of quantum entanglement in condensed matter s
	ystems and\nhigh energy physics have largely beneted from the eld of quantu
	m computation.\nIn the second part of the dissertation\, I present two exam
	ples of novel platforms\nfor quantum computation using state-of-the-art exp
	erimental technologies. I demonstrate\nhow one can use hybrid quantum-class
	ical architecture to solve computational\nproblems based on an optimal vari
	ational ansatz of the evolution protocol. I also\npresent a hierarchical ar
	chitecture of constructing logical Majorana zero modes which\ncan be used f
	or demonstrating non-Abelian braiding statistics experimentally.
LOCATION:SCI 352\, 590 Commonwealth Avenue\, 02215
STATUS:CONFIRMED
CLASS:PUBLIC
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