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DESCRIPTION:Optimal detection of dissipation in Lindbladian dynamics\nYiyi Cai | University of Cambridge\nExperimental implementations of Hamiltonian dynamics are often affected by dissipative noise arising from interactions with the environment. This raises the question of whether one can detect the presence or absence of such dissipation using only access to the observed time evolution of the system. We consider the following decision problem: given black-box access to the time-evolution channels e^tL generated by an unknown time-independent Lindbladian L\, determine whether the dynamics are purely Hamiltonian or contain dissipation of magnitude at least ϵ in normalized Frobenius norm. We give a randomized procedure that solves this task using total evolution time O(1/ϵ)\, which is information-theoretically optimal. This guarantee holds under the assumptions that the Lindblad generator has bounded strength and its dissipative part is of constant locality with bounded degree. Our work provides a practical method for detecting dissipative noise in experimentally implemented quantum dynamics.\nLocation\n\n• QNC 4104\n• Online on Zoom\n\n
X-ALT-DESC;FMTTYPE=text/html:Optimal detection of dissipation in Lindbladian dynamics<br />Yiyi Cai | University of Cambridge<br />Experimental implementations of Hamiltonian dynamics are often affected by dissipative noise arising from interactions with the environment. This raises the question of whether one can detect the presence or absence of such dissipation using only access to the observed time evolution of the system. We consider the following decision problem: given black-box access to the time-evolution channels e^tL generated by an unknown time-independent Lindbladian L, determine whether the dynamics are purely Hamiltonian or contain dissipation of magnitude at least ϵ in normalized Frobenius norm. We give a randomized procedure that solves this task using total evolution time O(1/ϵ), which is information-theoretically optimal. This guarantee holds under the assumptions that the Lindblad generator has bounded strength and its dissipative part is of constant locality with bounded degree. Our work provides a practical method for detecting dissipative noise in experimentally implemented quantum dynamics.<br />Location<br /><ul><li>QNC 4104</li><li>Online on Zoom</li></ul>
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SUMMARY:IQC Math and CS seminar featuring Yiyi Cai
DTSTART;TZID=America/New_York:20260610T140000
DTEND;TZID=America/New_York:20260610T150000
DTSTAMP:20260509T153934Z
TRANSP:OPAQUE
STATUS:CONFIRMED
SEQUENCE:0
LOCATION:QNC 4104
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