Design of control sequence of pulses for the population transfer of high dimensional spin 1/2 quantum systems

Dynamical high-dimensional quantum states can be tracked and manipulated in many cases. Using a new theoretical framework approach of manipulating quantum systems, we will show how one can manipulate and introduce parameters that allow tracking and descriptive insight in the dynamics of states. Using quantum topology and other novel mathematical representations, we will show how quantum states behave in critical points when the shift of probability distribution introduces changes.

Download Full-text

Information Geometric Perspective on Off-Resonance Effects in Driven Two-Level Quantum Systems

Quantum Reports ◽

10.3390/quantum2010011 ◽

2020 ◽

Vol 2 (1) ◽

pp. 166-188 ◽

Cited By ~ 2

Author(s):

Carlo Cafaro ◽

Steven Gassner ◽

Paul M. Alsing

Keyword(s):

Resonance Condition ◽

Transition Probability ◽

Geometric Analysis ◽

Quantum Systems ◽

Time Dependent ◽

Population Transfer ◽

Resonance Effects ◽

Hamiltonian Models ◽

Exactly Solvable ◽

Geodesic Paths

We present an information geometric analysis of off-resonance effects on classes of exactly solvable generalized semi-classical Rabi systems. Specifically, we consider population transfer performed by four distinct off-resonant driving schemes specified by su 2 ; ℂ time-dependent Hamiltonian models. For each scheme, we study the consequences of a departure from the on-resonance condition in terms of both geodesic paths and geodesic speeds on the corresponding manifold of transition probability vectors. In particular, we analyze the robustness of each driving scheme against off-resonance effects. Moreover, we report on a possible tradeoff between speed and robustness in the driving schemes being investigated. Finally, we discuss the emergence of a different relative ranking in terms of performance among the various driving schemes when transitioning from on-resonant to off-resonant scenarios.

Download Full-text

Lower bound of local quantum uncertainty for high-dimensional bipartite quantum systems

Science China Physics Mechanics and Astronomy ◽

10.1007/s11433-018-9351-5 ◽

2019 ◽

Vol 62 (9) ◽

Cited By ~ 5

Author(s):

ShuHao Wang ◽

Hui Li ◽

Xian Lu ◽

Bin Chen

Keyword(s):

Lower Bound ◽

Quantum Systems ◽

High Dimensional ◽

Quantum Uncertainty ◽

Local Quantum Uncertainty ◽

Bipartite Quantum Systems ◽

Local Quantum

Download Full-text

TWO-PHOTON HIGH-DIMENSIONAL SPATIAL ENTANGLEMENT: THEORY AND EXPERIMENT

Modern Physics Letters B ◽

10.1142/s0217984906009566 ◽

2006 ◽

Vol 20 (01) ◽

pp. 1-23 ◽

Cited By ~ 11

Author(s):

LEONARDO NEVES ◽

G. LIMA ◽

J. G. AGUIRRE GÓMEZ ◽

C. H. MONKEN ◽

C. SAAVEDRA ◽

...

Keyword(s):

Quantum Systems ◽

High Dimensional ◽

Entangled States ◽

Type Ii ◽

Opaque Screen ◽

Two Photon ◽

Parametric Down Conversion ◽

Experimental Works ◽

Maximally Entangled States ◽

Down Conversion

We review recent theoretical and experimental works where are proposed and demonstrated how to use photon pairs created by spontaneous parametric down-conversion to generate entangled states of D-dimensional quantum systems, or qudits. This is the first demonstration of high-dimensional entanglement based on the intrinsic transverse momentum entanglement of the type-II down-converted photons. The qudit space is defined by an aperture made up of an opaque screen with D slits (paths), placed in the arms of the twin photons. By manipulating the pump beam profile we can prepare different entangled states of these possible paths. We focus our attention on an important case for applications in quantum information: the maximally entangled states. Experimental results for qudits with D=4 and D=8 are shown and measuring a two-photon conditional interference, we also demonstrate the nonclassical character of the correlations.

Download Full-text