
	Where results make sense

Topic: Bloch sphere

Related Topics

Qubit

	Bloch sphere -- Facts, Info, and Encyclopedia article (Site not responding. Last check: 2007-10-21)
		In (The branch of quantum physics that accounts for matter at the atomic level; an extension of statistical mechanics based on quantum theory (especially the Pauli exclusion principle)) quantum mechanics, the Bloch sphere is a geometrical representation of the (additional info and facts about pure state) pure state space of a 2-level quantum mechanical system.
		The Bloch sphere is actually geometrically a sphere and the correspondence between elements of the Bloch sphere and pure states can be explicitly given.
		To show this correspondence, consider the qubit description of the Bloch sphere; any state ψ can be written as a complex superposition of the ket vectors and ; moreover since phase factors do not affect physical state, we can take the representation so that the coefficient of is real and non-negative.
	www.absoluteastronomy.com /encyclopedia/b/bl/bloch_sphere.htm (586 words)

	The Bloch Sphere
		A classical bit would be represented on the bloch sphere as being either at the north pole of the sphere or at the south pole.
		The bloch sphere is not a precise indicator of where the qubit lies on the unit sphere, it merely shows the latitude of the qubit.
		The qubit exists on every point on that semicircle, so in the bloch sphere implementation for the Quantum Computing Language, the qubit is assigned an arbitrary longitude of 70 pixels from the vertical z axis.
	www.redbrick.dcu.ie /~hego/technicalmanual/node8.html (230 words)

	Realizing Qubits (Site not responding. Last check: 2007-10-21)
		As a representation of spin states, the unit sphere is called the ``Bloch sphere''.
		Because quantum evolutions of a spin correspond to rotations of the Bloch sphere, this sphere is a useful tool for thinking about one- and sometimes about two-qubit processes.
		For a pure state this vector is on the surface of the unit sphere, and for a mixed state, it is inside the unit sphere.
	www.eskimo.com /~knill/qip/nmrprhtml/node5.html (607 words)

	Using the bloch sphere code inside the QCL
		The Bloch Sphere code allows you to view the state of a single qubit inside the QCL.
		A windowing system such as XFree86 must be in use to allow the viewing of the bloch sphere, this code cannot be run from a console, unless the graphical output is being redirected to an x-server somewhere.
		A test program to show the usage of the bloch sphere code, is provided in the "bloch.qcl" file in the lib subdirectory.
	www.redbrick.dcu.ie /~hego/usermanual/node4.html (187 words)

	Pure qubit state - Wikipedia, the free encyclopedia
		Geometrically, pure qubit states can be represented by elements of the Bloch sphere.
		There are various kinds of physical operation that can be performed on pure qubit states.
		These correspond to rotations of the Bloch sphere.
	en.wikipedia.org /wiki/Pure_qubit_state (221 words)

	HChen.html (Site not responding. Last check: 2007-10-21)
		We present a generalization to 3-qubits of the standard Bloch sphere representation for a single qubit and of the 7-dimensional sphere representation for 2 qubits presented in Mosseri et al.(J. Phys.
		The Hilbert space of the 3-qubit system is the 15-dimensional sphere S15, which allows for a natural (last) Hopf fibration with S8 as base and S7 as fiber.
		A striking feature is, as in the case of 1 and 2 qubits, that the map is entanglement sensitive, and the two distinct ways of un-entangling 3 qubits are naturally related to the Hopf map.
	www.cchem.berkeley.edu /kbwgrp/QC-seminar/HChen.html (132 words)

	Laserphysik/Laser Physics
		Bloch Sphere: a three-dimensional simulation of the dynamics of a two-level system under coherent, near-resonant excitation.
		The optical Bloch equations are solved numerically and the direction of the Bloch vector (u,v,w) is visualized.
		Bloch Sphere Classic.sea.hqx (176 KB): two-dimensional projection of the three-dimensional dynamics.
	www.iap.uni-bonn.de /lehre/ss01_laserphysics (530 words)

	2003 Projects
		For my work of this semester Im going to use the Bloch equations which are a modification of the density matrix.
		These are the Bloch vectory (which tell us the state probability) and the Torque vector (which tell us about the light field bathing the system).
		I expect and I observed the Bloch vector slowly orbiting the Torque vector as it moves from the south pole (ground state) to the north pole (excited state).
	laser.physics.sunysb.edu /~jose/2003info.html (642 words)

	Single spin dynamics in an NMR experiment (Site not responding. Last check: 2007-10-21)
		This picture is called a Bloch sphere representation of a spin.
		, i.e., a vector with its beginning in the centre of the Bloch sphere and its sharp end on the sphere's surface, is to rotate it by an angle
		It is a rotation on the surface of the Bloch sphere.
	beige.ucs.indiana.edu /B679/node50.html (531 words)

	The Bloch Vector Picture
		The Bloch vector was created for the problem of nuclear magnetic resonance in which a two--state spin system (up and down) interacts with a magnetic field.
		Richard Feynman was one of the first scientists to utilize the Bloch vector for a problem other than nuclear magnetic resonance.[4] He generated the Bloch vector from the elements of the density matrix.
		In this situation, the Bloch vector is confined to a sphere of radius one called the Bloch sphere.
	webphysics.davidson.edu /Projects/AnAntonelli/node16.html (374 words)

	The Controlled-not (Site not responding. Last check: 2007-10-21)
		This terminology reflects the fact that such rotations and their effects on deviation density matrices can be understood by a generalization of the Bloch sphere picture called the ``product operator formalism'' introduced by O.
		Note how the conjugation rotated the operation's axis according to the Bloch sphere rules.
		The effects of the pulse sequence for the controlled-not can be shown with the Bloch sphere as in Fig.
	www.eskimo.com /~knill/qip/nmrprhtml/node13.html (622 words)

	Nonlinear Atom-Laser Interactions
		The model is then extended to the multi-level cases of sodium and rubidium with evidence that the populations of the energy sub-levels again oscillate according a limit cycle, and with clear indication that even at saturation intensity the limit cycle has undergone the first bifurcation on the period doubling route to chaos.
		We can then compare these multi-level results to a simulation of the Bloch vector equations and further demonstrate that the system evolves into chaotic motion on the Bloch sphere.
		Figure4: The effect of a reduction in dissipative terms, as shown in the 2-level Bloch vector equations, is to destroy the stability of the limitcycle via a bifurcation process.
	optics.ph.unimelb.edu.au /atomopt/nonlinear/nonlinear.html (1148 words)

	Stochastic decoherence of qubits
		We study the stochastic decoherence of qubits using the Bloch equations and the Bloch sphere description of a two-level atom.
		We show that it is possible to describe a general decoherence process of a qubit by a stochastic map that is dependent on 12 independent parameters.
		Wódkiewicz and J. Eberly, "Random telegraph theory of effective Bloch equations with applications to free induction decay," Phys.
	www.opticsexpress.org /abstract.cfm?URI=OPEX-8-2-145 (228 words)

	José Castro UCF computer engineering
		If you were using a Java 3D-capable browser, you would see "BlochSphere" instead of this paragraph.
		The bloch sphere can represent a QuBit as a point in a 3 dimensional sphere.
		In the Bloch sphere we can do various transformation matrices, these are:
	pegasus.cc.ucf.edu /~jcastro/java/BlochSphere.html (69 words)

	Bloch3D (Site not responding. Last check: 2007-10-21)
		A Bloch Sphere is a way to represent and visualize the state of a qbit.
		This associates each point on the sphere with a state of the qbit.
		Our goal is to create an interactive 3D Sphere that will allow the visualization of those transformations.
	home.cinci.rr.com /vatamane (198 words)

	Flux-qubit (Site not responding. Last check: 2007-10-21)
		In the Bloch sphere representation, this is equivalent with a tilt of the precession cone followed by a measurement of the
		To preserve the information on the states superposition, this shift has to be adiabatically slow but still much faster than the relaxation time.
		Bottom: The initialization, operation and the readout stages, illustrated on the Bloch sphere.
	qt.tn.tudelft.nl /~chiorescu/fluxqubit (2605 words)

	The Rotating Wave Approximation
		When the RWA is on, and the amplitude of the electric field is constant, a circle with some angle of orientation is always observed.
		With the RWA off and the field at high amplitudes, it is questionable whether or not the curve ever closes; however, it is always bounded by the Bloch sphere.
		The Bloch vector spends a significant amount of time in these cusps, especially as the amplitude increases.
	webphysics.davidson.edu /Projects/AnAntonelli/node33.html (759 words)

	INI : Abstracts : QISW04 : Optimal qubit mixed state estimation (Site not responding. Last check: 2007-10-21)
		Given a number N of identically prepared qubit mixed states, I analyse the optimal estimation protocol, based on collective measurements.
		I discuss two scenarios: completely general states (3D), and states known to lie on the equatorial plane of the Bloch sphere (2D).
		I will derive the optimal POVMs for finite number of copies and obtain the analytical expressions of the fidelities in the large N regime.
	www.newton.cam.ac.uk /programmes/QIS/Abstract4/Bagan.html (139 words)

	Bloch 3D (Site not responding. Last check: 2007-10-21)
		--> apply the gates HXH to one qubit and Z to the other qubit and they should end up in the same place on the sphere
		--> rotate the Bloch sphere with the mouse such that the Z axis is pointing towards the screen.
		Is there a way to see how the observation that "H turns bit flips to phase flips" is true using the Bloch sphere?
	home.cinci.rr.com /vatamane/tutorial.html (251 words)

	INI : Abstracts : QISW04 : Estimation of qubit mixed states with local measurements (Site not responding. Last check: 2007-10-21)
		I discuss the problem of estimating an unknown qubit mixed state from a large sample of N identically prepared states with local measurements.
		I use as a prior the Bures distribution and focus, for simplicity, on states belonging to the equatorial plane of the Bloch sphere.
		I will show that the average fidelity for a large sequence of fixed measurements tends to 1-1/N^{3/4}.
	www.newton.cam.ac.uk /programmes/QIS/Abstract4/Munoz-Tapia.html (147 words)

	Depolarization (Site not responding. Last check: 2007-10-21)
		Substituting the Bloch Sphere representation and making use of the above in our expression for the superoperator of the depolarization channel yields:
		This shows the shrinking of the Bloch sphere.
		If we start in a pure state we get a mixture right away.
	beige.ucs.indiana.edu /B679/node88.html (253 words)

	C191 Quantum information
		On the illustration of the Bloch sphere in versions of the 9/1 lecture notes from before 9/13 at 3:45pm, the x- and y-axes have been mixed up.
		You can also find illustrations of the Bloch sphere on p.
		9/13: The figure of the Bloch sphere in the lecture notes from 9/1 has now been updated with a corrected version which does not interchange the x- and y-axes.
	inst.eecs.berkeley.edu /~cs191/fa05 (2047 words)

Try your search on: Qwika (all wikis)