Characterizing finite-dimensional quantum behavior
نویسندگان
چکیده
منابع مشابه
Normal Transport Behavior in Finite One-Dimensional Chaotic Quantum Systems
– We investigate the transport of energy, magnetization, etc. in several finite one-dimensional (1D) quantum systems only by solving the corresponding time-dependent Schrödinger equation. We explicitly renounce on any other transport-analysis technique. Varying model parameters we find a sharp transition from non-normal to normal transport and a transition from integrability to chaos, i.e., fro...
متن کاملCharacterizing Optimal Rates for Lossy Coding with Finite-Dimensional Metrics
We investigate the minimum expected number of bits sufficient to encode a random variable X while still being able to recover an approximation of X with expected distance from X at most D: that is, the optimal rate at distortion D, in a one-shot coding setting. We find this quantity is related to the entropy of a Voronoi partition of the values of X based on a maximal D-packing.
متن کاملComputing finite-dimensional bipartite quantum separability
Ever since entanglement was identified as a computational and cryptographic resource, effort has been made to find an efficient way to tell whether a given density matrix represents an unentangled, or separable, state. Essentially, this is the quantum separability problem. In Chapter 1, I begin with a brief introduction to quantum states, entanglement, and a basic formal definition of the quant...
متن کامل1 Quantum Finance : The Finite Dimensional Case ∗
In this paper, we present a non-commutative version of some portions of finance theory, including theory of arbitrage, asset princing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. The binomial model (or, the CRR-model) is studied in the non-commutative setting, and in particular, we prove that a single-step model in non-commutative sett...
متن کاملTeleportation of general finite dimensional quantum systems
Teleportation of finite dimensional quantum states by a non-local entangled state is studied. For a generally given entangled state, an explicit equation that governs the teleportation is presented. Detailed examples and the roles played by the dimensions of the Hilbert spaces related to the sender, receiver and the auxiliary space are discussed. PACS numbers: 03.67.-a, 89.70.+c, 03.65.-w AMS c...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review A
سال: 2015
ISSN: 1050-2947,1094-1622
DOI: 10.1103/physreva.92.042117