[16] **viXra:1307.0150 [pdf]**
*submitted on 2013-07-26 10:00:45*

**Authors:** Wenliang Jin

**Comments:** 13 Pages.

For an initial uniform superposition over all possible computational basis states, we explore the performance of Grover's search algorithm geometrically when imposing a perturbation on the Walsh-Hadamard transformation contained in the Grover iteration. We give the geometric picture to visualize the quantum search process in the three-dimensional space and show that Grover's search
algorithm can work well with an appropriately chosen perturbation. Thereby we corroborate Grover's conclusion that if such perturbation is small, then this will not create much of an
impact on the implementation of this algorithm. We also prove that Grover's path cannot achieve a geodesic in the presence of a perturbation of the Fubini-Study metric.

**Category:** Quantum Physics

[15] **viXra:1307.0126 [pdf]**
*submitted on 2013-07-24 04:25:16*

**Authors:** Wenliang Jin

**Comments:** 18 Pages.

For there to be $M> 1$ target items to be searched in an unsorted database of size $N$, with $M/N\ll 1$ for a sufficiently
large $N$, we explore the performance of Grover's search algorithm when considering some possible situations that may arise in a four-complex-dimensional subspace, for which in the case of identical rotation angles $\phi=\theta$, we give the maximum success probabilities of finding a desired state and their corresponding numbers of Grover iterations in an approximate fashion.
Our analysis reveals that the case of identical rotation angles $\phi=\theta$ is energetically favorable compared to the case
$\left| {\theta - \phi } \right|\gg 0$ for boosting the probability to detect a desired state.

**Category:** Quantum Physics

[14] **viXra:1307.0120 [pdf]**
*submitted on 2013-07-23 12:27:27*

**Authors:** Koji Nagata, Tadao Nakamura

**Comments:** 3 pages

We assume that one source of
two uncorrelated spin-carrying particles emits them in a state,
which can be described as a spin-1/2 bipartite pure uncorrelated state.
We consider a
Bell-Clauser-Horne-Shimony-Holt (Bell-CHSH)
experiment with two-orthogonal-settings.
We propose an additional condition for the state
to be reproducible by the property of local realistic theories.
We use the proposed measurement theory in order to construct
the additional condition
{[K. Nagata and T. Nakamura, Int. J. Theor. Phys.
{\bf 49}, 162 (2010)]}.
The condition is that
local measurement outcome is $\pm 1/\sqrt{2}$.
Otherwise, such an experiment does not allow for the
existence of local realistic theories even in the situation that
all Bell-CHSH inequalities hold.
Also we derive new set of Bell inequalities when
local measurement outcome is $\pm 1/\sqrt{2}$.

**Category:** Quantum Physics

[13] **viXra:1307.0118 [pdf]**
*submitted on 2013-07-23 10:38:23*

**Authors:** Koji Nagata, Tadao Nakamura

**Comments:** 9 pages; 2 figures

We discuss projective measurement theory does
not meet easy detector model for Pauli observable.
We propose a solution of the problem
by changing the value of the result of quantum measurements
and
by considering macroscopic system.
We discuss how our solution is used in an implementation of
Deutsch's algorithm.
Especially, we systematically
describe our assertion
based on more mathematical analysis using raw data.

**Category:** Quantum Physics

[12] **viXra:1307.0117 [pdf]**
*submitted on 2013-07-23 10:51:56*

**Authors:** Koji Nagata, Tadao Nakamura

**Comments:** 5 pages

We discuss that a single spin observable
$\sigma_x$ in a quantum state
does not have a counterpart in physical reality.
We consider whether a single spin-1/2 pure state
has a counterpart in physical reality.
It is an eigenvector of Pauli observable $\sigma_z$ or an
eigenvector of Pauli observable $\sigma_x$.
We assume a state $|+_z\rangle$, which can be described
as an eigenvector of Pauli observable $\sigma_z$.
We assume also a state $|+_x\rangle$, which can be described
as an eigenvector of Pauli observable $\sigma_x$.
The value of transition probability $|\langle +_z|+_x\rangle|^2$ is 1/2.
Surprisingly, the existence of a single classical probability space
for the transition probability
within the formalism of von Neumann's
projective measurement does not coexist with the value of
the transition probability
$|\langle +_z|+_x\rangle|^2=1/2$.
We have to give up the existence of such a classical
probability space for the state $|+_z\rangle$ or
for the state $|+_x\rangle$, as they define the transition probability.
It turns out that
the single spin-1/2 pure state $|+_z\rangle$ or
the single spin-1/2 pure state $|+_x\rangle$ does not have
counterparts in physical reality.
A single spin-1/2 pure state (e.g., $|+ \rangle\langle +|$) is a single
one-dimensional projection operator.
In other word,
a single one-dimensional projector does not have
a counterpart in physical reality, in general.

**Category:** Quantum Physics

[11] **viXra:1307.0116 [pdf]**
*replaced on 2015-08-25 09:22:28*

**Authors:** Koji Nagata, Tadao Nakamura

**Comments:** 6 Pages. Open Access Library Journal, Volume 2 (2015), e1805/1--6, http://dx.doi.org/10.4236/oalib.1101805

Recently, it is shown that there is a crucial
contradiction within von Neumann's theory {[K. Nagata and T. Nakamura,
Int. J. Theor. Phys. {\bf 49}, 162 (2010)]}.
We derive a proposition concerning a quantum expected value
under the assumption of the existence of the
directions in a spin-1/2 system.
The quantum predictions within the formalism of von Neumann's
projective measurement cannot coexist
with the proposition concerning the existence of the
directions.
Therefore, we have to give up
either the existence of the directions or the formalism of von Neumann's
projective measurement.
Hence there is a crucial contradiction
within von Neumann's theory.
We discuss that this crucial contradiction makes the
theoretical formulation of Deutsch's algorithm
questionable.
Especially, we systematically
describe our assertion
based on more mathematical analysis using raw data.
Our discussion, here, improves previously published argumentations very much.

**Category:** Quantum Physics

[10] **viXra:1307.0115 [pdf]**
*submitted on 2013-07-23 11:32:40*

**Authors:** Koji Nagata, Tadao Nakamura

**Comments:** 3 pages

We improve the no-cloning theorem
that relies on the property of the quantum theory.
Usually, the no-cloning theorem allows for a cloning
two orthogonal quantum states, simultaneously.
Here we take into account specific quantum measurement theory.
We result in the fact that we cannot allow for a cloning
two orthogonal quantum states, simultaneously.
Especially, we systematically describe our assertion
based on more mathematical analysis using raw data.

**Category:** Quantum Physics

[9] **viXra:1307.0112 [pdf]**
*replaced on 2015-08-25 09:16:32*

**Authors:** Koji Nagata, Tadao Nakamura

**Comments:** 13 Pages. Open Access Library Journal, Volume 2 (2015), e1806/1--14, http://dx.doi.org/10.4236/oalib.1101806

As a trial, though thinking of general concepts, of our scientific
challenge,
we consider whether the Charge-Parity-Time (CPT) symmetry can be
almighty even in a photon.
This is the main aim of this paper. In what follows, we discuss our
argumentations
dividing the conjecture into two parts. Rotational invariance of
physical laws is an accepted principle in Newton's theory. We show that
it leads to an additional constraint on local realistic theories with
mixture
of ten-particle Greenberger-Horne-Zeilinger state. This new constraint
rules out such theories even in some situations in which standard Bell
inequalities allow for explicit construction of such theories.
This says new hypothesis to the number of ten.
Next, it turns out Zermelo-Fraenkel set theory
has contradictions. Further, the von
Neumann's theory has a contradiction by using $\pm 1$.
We solve the problem of von Neumann's theory
while escaping from all contradictions made by
Zermelo-Fraenkel set theory, simultaneously.
We assume that the results of measurements are
$\pm 1/\sqrt {2}$.
We assume that only $E=1/\sqrt{2}$ and $E=-1/\sqrt{2}$
are possible.
This situation meets a structure made by
Zermelo-Fraenkel set theory with
the axiom of choice.
We result in the fact that it may be kept to perform the Deutsch-Jozsa
algorithm even in the macroscopic scale because zero
does not exist in this case.
Our analysis agrees with recent experimental report.

**Category:** Quantum Physics

[8] **viXra:1307.0106 [pdf]**
*replaced on 2014-02-20 16:06:18*

**Authors:** J.A.J. van Leunen

**Comments:** 372 Pages.

The Hilbert Book Model is the name of a personal project of the author. The model is deduced from a foundation that is based on quantum logic and that is subsequently extended with trustworthy mathematical methods. What is known from conventional physics is used as a guideline, but the model is not based on the methodology of contemporary physics. In this way the model can reach deeper into the basement of physics. The ambition of the model is rather modest. It limits its scope to the lowest levels of the physical hierarchy. Thus fields and elementary particles are treated in fair detail, but composites are treated marginally and only some aspects of cosmology are touched. Still the model dives into the origins of gravitation and inertia and explains the diversity of the elementary particles. It explains what photons are and introduces a lower level of physical objects and a new kind of ultra-high frequency waves that carry information about their emitters. It explains entanglement and the Pauli principle. It offers an alternative to the Higgs mechanism. Above all the HBM introduces a new way of looking at space and time. Where contemporary physics applies the spacetime model, the HBM treats space and progression as a paginated model.

**Category:** Quantum Physics

[7] **viXra:1307.0103 [pdf]**
*submitted on 2013-07-20 16:02:23*

**Authors:** Joel M Williams

**Comments:** 9 Pages.

Helium provides the simplest, multi-electron, atomic situation. Quantum mechanics addresses the different magnetic and spectral properties of ortho and para helium with “mirrored twin” electrons. This paper addresses that difference with “mirrored rooms” and no electron spin-reversed pairing in the same orbital – a different implementation of parity. Models are provided to illustrate why each form of helium can not be converted to the other in a single photon-induced step. These models also illustrate the vastly greater orbital sizes of the excited states over the ground state. Included is a reference to a paper demonstrating that classical physics provides the physical mechanism that explains why an electron’s energy levels scale with the square of integers. The mirror-room orbitals would also be appropriate for non-classical approaches without requiring spin-reverse pairing of electrons in the same orbital.

**Category:** Quantum Physics

[6] **viXra:1307.0068 [pdf]**
*submitted on 2013-07-16 05:23:54*

**Authors:** Leo Vuyk

**Comments:** 38 Pages. 38

The Quantum FFF Theory is the result of an architectural or geometrical interpretation of the forms and structures we are able to observe nowadays by means of modern observation techniques like CT scanning in the lab up to Satellite observation in space. Besides architecture I am interested in design for sub-quantum imaging and microstructure of elementary particles, forces and the vacuum lattice structure of the ether. The idea is that the different geometry or real FORM aspects of the sub-quantum world could be responsible for the FUNCTIONS and all the physical- and astronomical mysteries around us. This first part is mainly focused at the small scale of the mysteries

**Category:** Quantum Physics

[5] **viXra:1307.0067 [pdf]**
*submitted on 2013-07-16 07:33:42*

**Authors:** Leo Vuyk

**Comments:** 45 Pages. 45

The Quantum FFF Theory is the result of an architectural or geometrical interpretation of the forms and structures we are able to observe nowadays by means of modern observation techniques like CT scanning in the lab up to Satellite observation in space. Besides architecture I am interested in design for sub-quantum imaging and microstructure of elementary particles, forces and the vacuum lattice structure of the ether. The idea is that the different geometry or real FORM aspects of the sub-quantum world could be responsible for the FUNCTIONS and all the physical- and astronomical mysteries around us. This second part is mainly focused at the large scale of the mysteries.

**Category:** Quantum Physics

[4] **viXra:1307.0038 [pdf]**
*submitted on 2013-07-08 02:06:02*

**Authors:** Mourici Shachter

**Comments:** 7 Pages.

In this short paper I will show another procedure to solve Quantum Mechanics with Relativity. This procedure is very simple and can explain what really happens and why in the investigated system

**Category:** Quantum Physics

[3] **viXra:1307.0018 [pdf]**
*submitted on 2013-07-03 09:17:46*

**Authors:** philip. Maulion

**Comments:** 4 Pages.

After 'A world in 'Presence'' submitted on 26/11/2012 and 'A world in 'Presence'II' on 26/01/2013, in this science category, this one indicate that space and time are ours in our world. So they are the Sensorium of our 'Presence'.

**Category:** Quantum Physics

[2] **viXra:1307.0007 [pdf]**
*submitted on 2013-07-01 15:28:05*

**Authors:** Salvish Goomanee

**Comments:** 8 Pages.

In this short paper, a very brief introduction of the quantum harmonic oscillator has been provided. The understanding of the transition from a classically damped oscillator and the quantum mechanical model of the latter is included via a clear mathematics involving simple calculus. Only the one dimensional time dependent Schrodinger’s equation is being studied. This paper is intended to simply provide an analytical description of the subject, there are no advance calculations implying further suggestions in quantum theory.

**Category:** Quantum Physics

[1] **viXra:1307.0003 [pdf]**
*submitted on 2013-07-01 06:24:17*

**Authors:** José Francisco García Juliá

**Comments:** 1 Page.

The dispersion of the white light by a prism of glass in its constituent colors proves that the light is a wave and not particles.

**Category:** Quantum Physics