Dr. Wojciech Zurek
Los Alamos National Laboratory
Project Title
Quantum Darwinism
Project Summary
Classical states exist independently of measurements: We do not perturb a pendulum by watching it. But state of a quantum oscillator may be redefined by a measurement: Heisenberg's indeterminacy implies that its velocity would change if we determine its position too accurately. Yet, our universe is built from "quantum stuff". Hence, classicality - including measurement-resistant states - somehow emerges from "quantum stuff". However, quantum measurement models (following von Neumann) assume direct interaction between measured system and apparatus. Direct interaction inevitably endangers state of the system. Quantum Darwinism recognizes that such models misrepresent our indirect way of observing: For instance, readers of this text rely on photon environment - photons that already scattered from the print. Moreover, our eyes intercept only a tiny fraction of photons, yet they provide all our information. Therefore, there are many "copies" of the same information scattered throughout the environment, and the resulting states are in effect classical, as indicated by their objectivity, the hallmark of independent existence: Many can find out state of the system indirectly, without perturbing it. We shall study the number of its copies - the redundancy of information -- in realistic models of decoherence. Redundancy provides an observerindependent measure of objectivity.
Technical Abstract
Quantum Darwinism -- the idea that key aspects of classicality of selected observables of macroscopic systems arise from their redundant imprinting in the environment - is a natural extension of decoherence. It is a resolution of a long-standing problem: How do the resilient classical states (that can be found out without being perturbed) arise from quantum states (that tend to be re-prepared by measurements, and, hence, show no such resilience)? Classicality is measured by redundancy of its imprint in the environment - by the number of times it can be found out indirectly, and, hence, without being perturbed. In that sense, redundancy is a measure of objectivity. The limit of infinite redundancy is classical, while a single "copy" (entanglement with another systems) is quantum. Quantum Darwinism has been so far investigated in models where both the system and the environment start in a pure state. We will relax this unrealistic assumption, and compute redundancy in models (such as a spin in the environment of other spins, or quantum Brownian motion) where the system and the environment are mixed. We will investigate quantity and character of the information left in mixed environments and relate it to their initial states.
Hide Technical Abstract
Quantum Darwinism -- the idea that key aspects of classicality of selected observables of macroscopic systems arise from their redundant imprinting in the environment - is a natural extension of decoherence. It is a resolution of a long-standing problem: How do the resilient classical states (that can be found out without being perturbed) arise from quantum states (that tend to be re-prepared by measurements, and, hence, show no such resilience)? Classicality is measured by redundancy of its imprint in the environment - by the number of times it can be found out indirectly, and, hence, without being perturbed. In that sense, redundancy is a measure of objectivity. The limit of infinite redundancy is classical, while a single "copy" (entanglement with another systems) is quantum. Quantum Darwinism has been so far investigated in models where both the system and the environment start in a pure state. We will relax this unrealistic assumption, and compute redundancy in models (such as a spin in the environment of other spins, or quantum Brownian motion) where the system and the environment are mixed. We will investigate quantity and character of the information left in mixed environments and relate it to their initial states.
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