Bulletin of the American Physical Society
APS March Meeting 2020
Volume 65, Number 1
Monday–Friday, March 2–6, 2020; Denver, Colorado
Session U38: Landauer and Bennett Award Session: Quantum Resource Theories and ThermodynamicsPrize/Award

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Sponsoring Units: DQI Chair: Todd Brun, Univ of Southern California Room: 607 
Thursday, March 5, 2020 2:30PM  3:06PM 
U38.00001: Rolf Landauer and Charles H. Bennett Award in Quantum Computing talk Invited Speaker: Fernando Brandão tbd 
Thursday, March 5, 2020 3:06PM  3:18PM 
U38.00002: Resource theory of asymmetric distinguishability Xin Wang, Mark Wilde We systematically develop the resourcetheoretic perspective on distinguishability. The theory is a resource theory of asymmetric distinguishability, given that approximation is allowed for the first quantum state in general transformation tasks. We introduce bits of asymmetric distinguishability as the basic currency in this resource theory, and we prove that it is a reversible resource theory in the asymptotic limit, with the quantum relative entropy being the fundamental rate of resource interconversion. We formally define the distillation and dilution tasks, and we find that the exact oneshot distillable distinguishability is equal to the minrelative entropy, the exact oneshot distinguishability cost is equal to the maxrelative entropy, the approximate oneshot distillable distinguishability is equal to the smooth minrelative entropy, and the approximate oneshot distinguishability cost is equal to the smooth maxrelative entropy. We also develop the resource theory of asymmetric distinguishability for quantum channels. For this setting, we prove that the exact distinguishability cost is equal to channel maxrelative entropy and the distillable distinguishability is equal to the amortized channel relative entropy. 
Thursday, March 5, 2020 3:18PM  3:30PM 
U38.00003: Quantifying nonMarkovianity: a quantum resourcetheoretic approach Namit Anand, Todd Brun We study quantum nonMarkovianity as a resource theory and introduce the robustness of nonMarkovianity: an operationallymotivated, optimizationfree measure that quantifies the minimum amount of Markovian noise that can be mixed with a nonMarkovian evolution before it becomes Markovian. We show that this quantity is a bonafide nonMarkovianity measure since it is faithful, convex, and monotonic under composition with Markovian maps. A twofold operational interpretation of this measure is provided, with the robustness measure quantifying an advantage in both state and channel discrimination tasks. Moreover, we connect the robustness measure to singleshot information theory by using it to upper bound the minaccessible information of a nonMarkovian map. Furthermore, we provide a closedform analytical expression for this measure and show that, quite remarkably, the robustness measure is exactly equal to half the RivasHuelgaPlenio (RHP) measure [Phys. Rev. Lett. 105, 050403 (2010)]. As a result, we provide a direct operational meaning to the RHP measure while endowing the robustness measure with the physical characterizations of the RHP measure. 
Thursday, March 5, 2020 3:30PM  3:42PM 
U38.00004: log singularities in studying quantum capacities Vikesh Siddhu Understanding the quantum capacity of a quantum channel is a long standing issue which lies at the center of quantum information theory. Determining the quantum capacity of a general channel or checking that it is positive is difficult. A major source of this difficulty arises due to nonadditivity of the oneshot quantum capacity. In this work, we present a new method for checking positivity and nonadditivity of the oneshot quantum capacity. This method is based on logarithmic singularities of the vonNeumann entropy. Using this log singularity method, we find a new type of nonadditivity where using two very simple channels in parallel, one that doesn't have quantum capacity and a second that has positive oneshot quantum capacity, produces a channel whose oneshot quantum capacity exceeds that of the second channel. 
Thursday, March 5, 2020 3:42PM  3:54PM 
U38.00005: Quuantum Simplicity: Complexity Science in a Quantum World Mile Gu Complexity and quantum science appear at first to be two fields that bear little relation. One deals with the science of the very large – seeking the understand how unexpected phenomena can emerge in vast systems consisting of many interacting components. Quantum theory, on the other hand, deals with particles at the microscopic level and is usually considered limited to the domain of individual photons and atoms. Yet, different as they appear, there is growing evidence that in interfacing ideas from quantum and complexity science, we may unveil new perspective in either both fields. 
Thursday, March 5, 2020 3:54PM  4:06PM 
U38.00006: Coherence cost for measurement and computation under conservation laws Hiroyasu Tajima, Naoto Shiraishi, Keiji Saito, Hiroshi Nagaoka Nature imposes many restrictions on the operations that we perform. Among such restrictiones, the restriction imposed by conservation laws on two types of the basic operations of quantum information processing, i.e. measurements and unitary operations, has been studied for a particularly long time. 
Thursday, March 5, 2020 4:06PM  4:18PM 
U38.00007: Fusion rules from entanglement Bowen Shi, Kohtaro Kato, Isaac H Kim We derive some of the axioms of the algebraic theory of anyon [A. Kitaev, Ann. Phys., 321, 2 (2006)] from a conjectured form of entanglement area law for twodimensional gapped systems. We derive the fusion rules of topological charges and show that the multiplicities of the fusion rules satisfy these axioms. Moreover, even though we make no assumption about the exact value of the constant subleading term of the entanglement entropy, this term is shown to be equal to the logarithm of the total quantum dimension of the underlying anyon theory. These derivations are rigorous and follow from the entanglement area law alone. More precisely, our framework starts from two local entropic constraints, which are implied by the area law. They allow us to prove what we refer to as the isomorphism theorem, which enables us to define superselection sectors and fusion multiplicities without a Hamiltonian. These objects and the axioms of the anyon theory are shown to emerge from the structure and the internal selfconsistency relations of an object known as the information convex. 
Thursday, March 5, 2020 4:18PM  4:30PM 
U38.00008: Nonequilibrium work relations of open quantum systems in onetime measurement scheme Akira Sone, YiXiang Liu, Paola Cappellaro Because of the ambiguity in defining work and heat in open quantum systems, it is challenging to formulate nonequilibrium work relations for general quantum channels, beyond the unital case. To overcome this challenge, here we introduce welldefined notions of quantum heat and work in open quantum systems, based on the notion of guessed state defined by the onetime measurement scheme, as developed in [Phys. Rev. E 94, 010103(R)]. This allows us to derive nonequilibrium work relations for general quantum channels, and formulate a modified maximum work theorem with respect to the defined “guessed” quantum work. 
Thursday, March 5, 2020 4:30PM  4:42PM 
U38.00009: An ergodic theorem for homogeneously distributed quantum channels with applications to matrix product states Ramis Movassagh, Jeffrey Schenker Quantum channels represent the most general physical changes of a quantum system. We consider ergodic sequences of channels, obtained by sampling channel valued maps along the trajectories of an ergodic dynamical system. Such maps vastly generalize stochastically independent maps (e.g., random independence) or equality of the channel maps (i.e., translation invariance). The repeated composition of an ergodic sequence of maps could represent the effect of repeated application of a given quantum channel subject to arbitrary correlated noise or decoherence. Under such a hypothesis, we obtain a general ergodic theorem showing that the composition of maps converges exponentially fast to a rankone  entanglement breaking channel. As an application, we describe the thermodynamic limit of ergodic Matrix Product States and derive a formula for the expectation value of a local observable and prove that the 2point correlations of local observables in such states decay exponentially in the bulk with their distance. 
Thursday, March 5, 2020 4:42PM  4:54PM 
U38.00010: Quantifying Structure and Information Processing in OneDimensional Quantum Systems David Gier, James P Crutchfield We develop a framework for studying onedimensional quantum systems with stationary, ergodic dynamics and introduce quantum information properties related to the von Neumann entropies of blocks of qubits within a structured chain. Some of the resulting statistical features are unique to quantum systems and others can be recreated with purely classical ensembles. Applying sequential measurements on these quantum states yields classical stochastic processes whose information properties are determined by the structure of the initial quantum state and the measurement protocol. Examples states with short and longrange entanglement, as well as specific Hamiltonian ground states are analyzed within this framework. 
Thursday, March 5, 2020 4:54PM  5:06PM 
U38.00011: MeasurementInduced Randomness and Structure in Controlled Qubit Processes Ariadna VenegasLi, Alexandra Jurgens, James P Crutchfield When an observer measures a time series of qubits, the outcomes generate a classical stochastic process. We present a model family of classically controlled qubit time series and show that measurement induces high complexity in these processes in two specific senses: they are inherently unpredictable (positive Shannon entropy rate) and they require an infinite number of features for optimal prediction (divergent statistical complexity). We argue that nonunifilarity is the mechanism underlying the resulting complexities and identify the different contributions to the randomness of the observed process. We examine the influence that the choice of measurement has on the randomness and structure of the measured qubit process and discuss measurement choices of potential interest in obtaining information about the underlying time series of qubits. 
Thursday, March 5, 2020 5:06PM  5:18PM 
U38.00012: A study about complete cohering/decohering power with ancillary system. Masaya Takahashi, Alexander Streltsov In this talk we will discuss the cohering/decohering power of a quantum operation which quantifies the maximum amount of coherence which can be generated/eliminated through that operation taken over all input states. 
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