The rotation scheme of quantum states based on EPR pairs

2022 ◽  
Author(s):  
Si-Yu Xiong ◽  
Liang Tang ◽  
Qun Zhang ◽  
Dan Xue ◽  
Ming-Qiang Bai ◽  
...  
Keyword(s):  
Ground State ◽  
Short Distance ◽  
Small Range ◽  
Transmission Scheme ◽  
Single Qubit ◽  
Unknown State ◽  
Rotation Scheme ◽  
Complete State ◽  
State Formula ◽  
Bidirectional Transmission

In this paper, we give a further discussion of short-distance teleportation. We propose bidirectional, rotation and cyclic rotation teleportation schemes for short-distance participants, respectively. In our bidirectional transmission scheme, the quantum channel is still an EPR pair and an auxiliary qubit in the ground state [Formula: see text], and two participants can transmit an unknown single-qubit state to each other. In the rotation and cyclic rotation schemes, bidirectional transmission is performed between two adjacent participants in turn. The unknown state qubits of the participants collapse into the ground state after one bidirectional transmission, and can be used as auxiliary qubits in subsequent bidirectional transmission. After a complete state rotation, each participant has held the unknown state of the other participants, and the last one owned by the participant is still the original unknown state. Although the schemes we proposed are applicable to a small range of transmission, they have certain advantages in saving quantum resources.

THE LYMAN BANDS OF MOLECULAR HYDROGEN

1959 ◽  
Vol 37 (5) ◽  
pp. 636-659 ◽  
Author(s):  
G. Herzberg ◽  
L. L. Howe
Keyword(s):  
High Resolution ◽  
Vibrational Level ◽  
Ground State ◽  
Molecular Hydrogen ◽  
Equilibrium Constants ◽  
Dissociation Limit ◽  
Vibrational Levels ◽  
State Formula ◽  
Single Formula ◽  
Vibrational Constants

The Lyman bands of H2 have been investigated under high resolution with a view to improving the rotational and vibrational constants of H2 in its ground state. Precise Bv and ΔG values have been obtained for all vibrational levels of the ground state. One or two of the highest rotational levels of the last vibrational level (v = 14) lie above the dissociation limit. Both the [Formula: see text] and ΔG″ curves have a point of inflection at about v″ = 3. This makes it difficult to represent the whole course of each of these curves by a single formula and therefore makes the resulting equilibrium constants somewhat uncertain. This uncertainty is not very great for the rotational constants for which we find[Formula: see text]but is considerable for the vibrational constants ωe and ωexe for which three-, four-, five-, and six-term formulae give results diverging by ± 1 cm−1. The rotational and vibrational constants for the upper state [Formula: see text] of the Lyman bands are also determined. An appreciable correction to the position of the upper state is found.

A generalized empirical formula for half-lives of alpha-decay fine structure

2019 ◽  
Vol 28 (08) ◽  
pp. 1950067
Author(s):  
I. Sreeja ◽  
M. Balasubramaniam
Keyword(s):  
Experimental Data ◽  
Fine Structure ◽  
Ground State ◽  
Empirical Formula ◽  
Daughter Nucleus ◽  
Alpha Decay ◽  
Parent Nucleus ◽  
State Formula ◽  
Model Independent ◽  
Proton Radioactivity

A model-independent and [Formula: see text]-dependent four parameter formula has been recently proposed for the studies of one proton and two proton radioactivity. The same form of the formula with different parameter sets worked well for 1p and 2p emission indicating the fact that the similar phenomenological law is able to successfully reproduce both 1p as well as 2p emission half-lives suggesting the identical descriptions of these phenomena. Retaining the same form of the formula, its applicability is studied in this work for calculating the ground state as well as excited state [Formula: see text] emission. For this study, we consider 22 odd–odd nuclei, 31 odd–even nuclei, 52 even–odd nuclei, 88 even–even nuclei with the parent nucleus charge numbers in the range of [Formula: see text], [Formula: see text], [Formula: see text], and [Formula: see text], respectively. For each of these subsets the emission of [Formula: see text] with different angular momentum values are considered. The general formula with four different parameter sets is proposed and the obtained results are compared with the experimental data. The study reveals that the general form of the proposed empirical formula is suitable for calculating the half-lives of 1p, 2p and [Formula: see text]-emission with different [Formula: see text]-values. With very minimal input like [Formula: see text]-values, and charge number of the daughter nucleus, this formula can be used as a handy tool for a systematic study as well as to plan new experiments.

QUANTUM HALL QUARKS OR SHORT DISTANCE PHYSICS OF FRACTIONALLY QUANTIZED HALL FLUIDS

1998 ◽  
Vol 13 (08) ◽  
pp. 1293-1303 ◽  
Author(s):  
MARTIN GREITER
Keyword(s):  
Wave Function ◽  
Ground State ◽  
Short Distance ◽  
Quantum Hall ◽  
Coulomb Interactions ◽  
Present Evidence ◽  
Fractional Charge ◽  
Individual Test ◽  
Local Description ◽  
Test Electron

In order to obtain a local description of the short distance physics of fractionally quantized Hall states for realistic (e.g. Coulomb) interactions, I propose to view the zeros of the ground state wave function, as seen by an individual test electron from far away, as particles. I then present evidence in support of this interpretation, and argue that the electron effectively decomposes into quarklike constituent particles of fractional charge.

BAND SPECTRUM AND STRUCTURE OF THE CH+ MOLECULE; IDENTIFICATION OF THREE INTERSTELLAR LINES

1942 ◽  
Vol 20a (6) ◽  
pp. 71-82 ◽  
Author(s):  
A. E. Douglas ◽  
G. Herzberg
Keyword(s):  
Ground State ◽  
Band System ◽  
Lower State ◽  
Band Spectrum ◽  
Interstellar Space ◽  
Molecular Constants ◽  
Vibrational Levels ◽  
State Formula ◽  
Heat Of Dissociation ◽  
Π State

In a discharge through helium, to which a small trace of benzene vapour is added, a new band system of the type 1Π – 1Σ is found which is shown to be due to the CH+ molecule. The R(0) lines of the 0–0, 1–0, and 2–0 bands of the new system agree exactly with the hitherto unidentified interstellar lines 4232.58, 3957.72, 3745.33 Å, thus proving that CH+ is present in interstellar space. At the same time this observation of the band system in absorption shows that the lower state 1Σ is the ground state of the CH+ molecule. The new bands are closely analogous to the 1II – 1Σ+ BH bands. The analysis of the bands leads to the following vibrational and rotational constants of CH+ in its ground state: [Formula: see text], Be″ = 14.1767, αe″ = 0.4898 cm.−1. The internuclear distance is re″ = 1.1310∙10−8 cm. (for further molecular constants see Table V). From the vibrational levels of the upper 1Π state the heat of dissociation of CH+ can be obtained within fairly narrow limits: D0(CH+) = 3.61 ± 0.22 e.v. From this value the ionization potential of CH is derived to be I(CH) = 11.13 ± 0.22 e.v. The bearing of this value on recent work on ionization and dissociation of polyatomic molecules by electron impacts is briefly discussed.

Collisional deactivation of singlet methylene in the photolysis of ketene

1969 ◽  
Vol 47 (18) ◽  
pp. 3345-3353 ◽  
Author(s):  
R. A. Cox ◽  
K. F. Preston
Keyword(s):  
Carbon Monoxide ◽  
Quantum Yield ◽  
Ground State ◽  
Inert Gases ◽  
Inert Gas ◽  
Quantum Yields ◽  
Electronic Relaxation ◽  
Excited Singlet ◽  
State Formula ◽  
Singlet Methylene

An investigation has been made into the effect of inert gas additions on product quantum yields for the photolysis at 2800 and 2490 Å of mixtures of ketene and oxygen and for the photolysis at 2800 Å of mixtures of ketene and carbon monoxide. Concentration ratios of O2 (or CO) to CH2CO were chosen so that the reaction of CH2(3Σg−) with CH2CO could be ignored and C2H4 formation could be attributed entirely to the reaction[Formula: see text]Quenching of the C2H4 quantum yield by inert gases was interpreted in terms of collisional deactivation of CH2(1A1) to the ground state[Formula: see text]and rate constant ratios k2/k1 have been determined for a number of gases: He (0.018), Ar (0.014), Kr (0.033), Xe (0.074), N2 (0.052), N2O (0.10), CF4 (0.047), C2F6 (0.11), and SF6 (0.045). It has been assumed that collision-induced intersystem crossover in excited singlet ketene makes an insignificant contribution to the observed quenching effects, but it has not been possible to verify this assumption experimentally. The mechanism of collision-induced electronic relaxation of singlet methylene is discussed in the light of the results.

K-shell photoionization of Li, Be+ and B2+

2016 ◽  
Vol 30 (15) ◽  
pp. 1650204 ◽  
Author(s):  
Jun Li ◽  
Jian Dang Liu ◽  
Song Bin Zhang ◽  
Bang Jiao Ye
Keyword(s):  
High Resolution ◽  
Light Source ◽  
Cross Sections ◽  
Ground State ◽  
Matrix Method ◽  
Theoretical Calculations ◽  
Metastable States ◽  
The Core ◽  
Advanced Light Source ◽  
State Formula

K-shell photoionization (PI) of Li, Be[Formula: see text] and B[Formula: see text] from ground state [Formula: see text] have been studied by using the [Formula: see text]-matrix method with pseudostates. The K-shell PI process is featured with the contributions from the core-excited metastable states or dominated by the Auger states 2Po. The resonant parameters of the Auger states 2Po and the PI cross-sections have been calculated and compared with the available experimental and theoretical works. Our results agree very well with that of the published works. It is worth noting that compared with previous theoretical calculations, our results of B[Formula: see text] show better agreements with the latest high-resolution advanced light source measurements [A. Müller et al., J. Phys. B 43 (2010) 135602].

SPECTRUM AND STRUCTURE OF THE FREE HNCN RADICAL

1963 ◽  
Vol 41 (2) ◽  
pp. 286-298 ◽  
Author(s):  
G. Herzberg ◽  
P. A. Warsop
Keyword(s):  
Fine Structure ◽  
Ground State ◽  
Electronic Transition ◽  
Flash Photolysis ◽  
Geometrical Structure ◽  
Transition Moment ◽  
Lower State ◽  
State Formula ◽  
Exact Position

A widely spaced perpendicular band at 3440 Å observed in the flash photolysis of diazomethane is ascribed to the free HNCN radical. The study of the fine structure of this band for HNCN, DNCN, and HNC13N has yielded information about the geometrical structure of the molecule in both the upper and lower (ground) state. For the lower state[Formula: see text]The N—C—N group is very nearly linear, but the exact position of the C atom on this line could not be determined. The electronic transition is of the type 2A′–2A″, the transition moment being perpendicular to the plane of the molecule.

Stability of Excited Exciton States in Semiconductor Quantum Dots Under a Lateral Electric Field

2021 ◽  
Author(s):  
S. A. Safwan ◽  
Nagwa El Meshad
Keyword(s):  
Excited State ◽  
Binding Energy ◽  
Electric Field ◽  
Excited States ◽  
Ground State ◽  
Heavy Hole ◽  
Single Particles ◽  
Lateral Electric Field ◽  
State Formula ◽  
Ground State Stability

The effect of the lateral electric field (LEF) on the excited and ground state stability of an exciton ([Formula: see text]) confined in a parabolic cylindrical quantum dot (QD) was estimated in this study. The calculation was performed in the framework of single-band effective mass theory using a variational approach. Our results revealed that the ground state binding energy of [Formula: see text] decreases with increasing the cylindrical QD radius until the exciton stability is lost at moderate LEF strength. By increasing the LEF strength, the excited heavy-hole ([Formula: see text]) can create an excited state [Formula: see text] or excited state [Formula: see text] of [Formula: see text], and the results indicate that the first state is more stable. In contrast, when an excited electron ([Formula: see text]) combines with an excited hole ([Formula: see text]) or unexcited hole ([Formula: see text]), it contains no split excited states for [Formula: see text] with less binding energy than the state [Formula: see text]. Comparing our previous results of donor impurity [Formula: see text] with [Formula: see text], we found that [Formula: see text] has a more stable ground state than [Formula: see text]. Moreover, the excited [Formula: see text] states are more stable than the excited states of [Formula: see text]. The quantum Stark shift (QSS) of the light- and heavy-hole exciton energy was explored, and a blue-shifted and quadratic QSS was observed. In contrast, for single particles (electron, heavy-hole and light hole), a red-shifted and linear QSS was observed.

Analysis and construction of four-party deterministic operation sharing with a generalized seven-qubit Brown state

2017 ◽  
Vol 31 (24) ◽  
pp. 1750190 ◽  
Author(s):  
Siqi Zhou ◽  
Mingqiang Bai ◽  
Changyue Zhang
Keyword(s):  
Single Qubit ◽  
Theoretical Scheme ◽  
Brown State ◽  
State Formula ◽  
Intrinsic Efficiency ◽  
Qubit Operation

In this paper, a four-party scheme is presented for remotely sharing a single-qubit operation with the help of LOCC and the generalized seven-qubit Brown state [Formula: see text]. Besides, we consider a theoretical scheme for four-party QOS by using the generalized [Formula: see text]-qubit Brown state [Formula: see text] proposed by Muralidharan and Panigrahi (Phys. Rev. A 77 (2008) 032321). Furthermore, some concrete discussions are made to study its important features, including the scheme determinacy, the sharer symmetry, the scheme security, the nowaday’s experimental feasibility as well as the intrinsic efficiency.

Laser induced fluorescence of the 0–6, 1–6, and 0–5 bands of the transition of Bi2

1982 ◽  
Vol 60 (1) ◽  
pp. 73-76 ◽  
Author(s):  
G. Fabre ◽  
J. P. Bacci ◽  
C. Athenour ◽  
R. Stringat ◽  
P. Bernath
Keyword(s):  
Ground State ◽  
Single Mode ◽  
Rotational Constant ◽  
Laser Induced Fluorescence ◽  
Dye Laser ◽  
State Formula ◽  
X State

Analysis of the 0–6, 1–6, and 0–5 bands of the A–X transition of Bi2 with a single-mode, tunable cw dye laser gave the following rotational constant values: A state: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text]; X state: [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text].The electronic symmetries of the A and X states are confirmed to be [Formula: see text] and [Formula: see text], respectively, supporting the assignment of the X state as the ground state.

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