Entropy Production in Quantum Is Different
arXiv:1907.09241 · doi:10.3390/e21090854
Abstract
Currently, 'time' does not play any essential role in quantum information theory. In this sense, quantum information theory is underdeveloped similarly to how quantum physics was underdeveloped before Erwin Schrodinger introduced his famous equation for the evolution of a quantum wave function. In this review article, we cope with the problem of time for one of the central quantities in quantum information theory: entropy. Recently, a replica trick formalism, the so-called 'multiple parallel world' formalism, has been proposed that revolutionizes entropy evaluation for quantum systems. This formalism is one of the first attempts to introduce 'time evolution' in quantum information theory. With the total entropy being conserved in a closed system, entropy can flow internally between subsystems; however, we show that this flow is not limited only to physical correlations as the literature suggest. The nonlinear dependence of entropy on the density matrix introduces new types of correlations with no analogue in physical quantities. Evolving a number of replicas simultaneously makes it possible for them to exchange particles between different replicas. We will summarize some of the recent news about entropy in some example quantum devices. Moreover, we take a quick look at a new correspondence that was recently proposed that provides an interesting link between quantum information theory and quantum physics. The mere existence of such a correspondence allows for exploring new physical phenomena as the result of controlling entanglement in a quantum device.
34 pages, 12 figures, This article submitted to the Special Issue Quantum Transport in Mesoscopic Systems
References in corpus (12)
- Quantum Noise as an Entanglement Meter
- Quantum thermal absorption machines: refrigerators, engines and clocks
- Photon-assisted charge-parity jumps in a superconducting qubit
- Thermodynamics in Single-Electron Circuits and Superconducting Qubits
- Quantum statistics of a single-atom Scovil-Schulz-DuBois heat engine
- Exact correspondence between Renyi entropy flows and physical flows
- Dynamics of parametric fluctuations induced by quasiparticle tunneling in superconducting flux qubits
- Generic degeneracy and entropy in loop quantum gravity
- Superconducting qubits beyond the dispersive regime
- Spectroscopy of a canonically quantized horizon
- Rényi entropy flows from quantum heat engines
- Entropy production in a photovoltaic cell