- Type of paper
: Paper in journal
Title: A New Axiomatization of Unified Quantum Logic
- Authors:
- Pavičić, Mladen (77362)
Journal: International Journal of Theoretical Physics
Number: 9
ISSN: 0020-7748
Volume: 31
Year: 1992
Pages: from 1753 to 1766
Number of references: 36
Language: engleski
Summary: Unified quantum logic which is a propositional logic
underlying
quantum formalism is given a new, much simplified axiomatization.A
statistical basis for this propositional logical system isgiven so as to
interpret unified quantum logic as a system ofdeduction. The soundness and
completeness of algebraic semanticsare proved. Kripkean and probabilistic
semantics are discussed.
Keywords: quantum logic, quantum measurement theory
- Type of paper
: Paper in journal
Title: Bibliography on Quantum Logics and Related Structures
- Authors:
- Pavičić, Mladen (77362)
Journal: International Journal of Theoretical Physics
Number: 3
ISSN: 0020-7748
Volume: 31
Year: 1992
Pages: from 373 to 461
Number of references: 999
Language: engleski
Summary: The bibliography contains 1851 references on axiomatic
structuresunderlying quantum mechanics, with stress on varieties
ofalgebraico-logical, probabilistic, and operational structures forwhich
the term "quantum logic" is adopted. An index of about 250keywords picked
out from the titles is included and statisticsabout papers, journals, and
authors are presented. Monographs andproceedings on the subject are noted.
Keywords: bibliography on quantum logic, quantum logic, logico-algebraical structures of quantum mechanics, probabilistico-operational structures of quantum mechanics, quantum formalism
- Type of paper
: Paper in journal
Title: On a Formal Difference between the Individual and
Statistical Interpretation of Quantum Mechanics
- Authors:
- Pavičić, Mladen (77362)
Journal: Physics Letters A
Number: 5
ISSN: 0375-9601
Volume: 172
Year: 1993
Pages: from 353 to 357
Number of references: 16
Language: engleski
Summary: A discussion is given of a function which exhibits a jump
for theend points of a closed interval in case of the
individualinterpretation of quantum measurements of the first kind andstays
continuous on the whole interval for their statisticalinterpretation.
Keywords: quantum measurements, interpretations of quantum mechanics
- Type of paper
: Paper in journal
Title: Nonordered Quantum Logic and Its YES-NO Representation
- Authors:
- Pavičić, Mladen (77362)
Journal: International Journal of Theoretical Physics
Number: 9
ISSN: 0020-7748
Volume: 32
Year: 1993
Pages: from 1481 to 1505
Number of references: 50
Language: engleski
Summary: It is shown that an orthomodular lattice is an ortholattice
inwhich a UNIQUE operation of bi-implication corresponds to theequality
relation and that the ordering relation in the binaryformulation of quantum
logic are completely irrelevant for their
axiomatization. The soundness and completeness theorems for the
corresponding algebraic unified quantum logic are proved. Arepresentation
of quantum logic by means of a new YES-NO relationis given.
Keywords: quantum logic, orthomodular lattices, ortholattices, quantum measurement theory
- Type of paper
: Paper in journal
Title: Probabilistic Forcing in Quantum Logics
- Authors:
- Pavičić, Mladen (77362)
Journal: International Journal of Theoretical Physics
Number: 10
ISSN: 0020-7748
Volume: 32
Year: 1993
Pages: from 1965 to 1979
Number of references: 27
Language: engleski
Summary: It is shown that an orthomodular lattice can be axiomatized
as an ortholattice with a unique operation of bi-implicationinstead of the
operation implication and a correspondingalgebraic unified quantum logic is
formulated. A novel YES-NOrepresentation of quantum logic is provided which
prompts aconjecture about a possible completion of quantum logic by
means of probabilistic forcing.
Keywords: quantum logic, probabilistic forcing
- Type of paper
: Paper in journal
Title: Spin-Correlated Interferometry for Polarized and
Unpolarized Photons on a Beam Splitter
- Authors:
- Pavičić, Mladen (77362)
Journal: Physical Review A
Number: 4
ISSN: 1050-2947
Volume: 50
Year: 1994
Pages: from 3486 to 3491
Number of references: 38
Language: engleski
Summary: Spin-correlated interferometry of the fourth order for
independent polarized as well as unpolarized photons arriving
simultaneously at a beam splitter and exhibiting spin
correlation while leaving it is formulated and discussed inquantum
approach. The beam splitter is recognized as a source
of genuine singlet photon states. Also, typical nonclassicalbeating between
photons taking part in the interference of thefourth order is given a
polarization-dependent explanation.
Keywords: quantum optics, interference of the fourth order, intensity interference, quantum mechanics
- Type of paper
: Paper in journal
Title: Interferometry with Two Pairs of Spin Correlated Photons
- Authors:
- Pavičić, Mladen (77362)
- Summhammer, Johann
Journal: Physical Review Letters
Number: 74
ISSN: 0031-9007
Volume: 73
Year: 1994
Pages: from 3191 to 3194
Number of references: 25
Language: engleski
Summary: We propose a new experiment employing two independent
sources ofspin correlated photon pairs. Two photons from
differentunpolarized sources each pass through a polarizer to a detector.
Although their trajectories never mix or cross they exhibit
fourth-order-interference-like correlations when the other two
photons interfere on a beam splitter even when the latter two do
not pass any polarizers at all. A wave packet calculation showsthat the
experiment permits a very discriminatory test of hiddenvariable theories.
Keywords: quantum optics, interference of the fourth order, intensity interference, quantum mechanics
- Type of paper
: Paper in journal
Title: Spin-Correlated Interferometry with Beam Splitters:
Preselection of Spin-Correlated Photons
- Authors:
- Pavičić, Mladen (77362)
Journal: Journal of the Optical Society of America B
Number: 5
ISSN: 0740-3224
Volume: 12
Year: 1955
Pages: from 821 to 828
Number of references: 44
Language: engleski
Summary: A nonclassical feature of the fourth--order interference at
abeam splitter, that genuine photon spin singlets are emitted
inpredetermined directions even when incident photons areunpolarized, has
been used in a proposal for an experiment thatimposes quantum spin
correlation on truly independent photons. Inthe experiment two photons from
two such singlets interfere at abeam splitter, and as a result the other
two photons---whichnowhere interacted and whose paths nowhere
crossed---exhibit a100Đ%Đ correlation in polarization, even when no
polarization hasbeen measured in the first two photons. The propsed
experimentpermits closure of the remaining loopholes in the Bell
theoremproof, reveals the quantum nonlocality as a property ofselection,
and pioneers an experimental procedure for exactpreparation of unequal
superposition.
Keywords: quantum optics, fourth-order interference, intensity interference, quantum mechanics, foundations of quantum physics
- Type of paper
: Paper in journal
Title: Preselection with Certainty of Photons in a Singlet State
from a Set of Independent Photons
- Authors:
- Pavičić, Mladen (77362)
Journal: International Journal of Theoretical Physics
Number: 8
ISSN: 0020-7748
Volume: 34
Year: 1995
Pages: from 0 to 0
Number of references: 13
Language: engleski
Summary: It is shown that one can preselect with certainty photons
in thesinglet state from a set of completely unpolarized andindependent
photons which did not in any way directly interactwith each other - without
in any way affecting them. The resultis based on an experiment which puts
together two unpolarizedphotons from two independent singlet pairs, makes
them interferein the fourth order on a beam splitter so as to preselect
thesinglet state of the other two photons from the pairs although
nopolarization measurement has been carried out on the photonscoming out
from the beam splitter. One can obtain the expectationvalue for the
correlated state of the former two unpolarizedphotons in the Hilbert space
and therefore write down the singletstate for them but one apparently
cannot infer the state withinthe Hilbert space. This might sugest that the
Hilbert space isnot a maximal model for quantum measurements.
Keywords: quantum theory, quantum mechanics, quantum measurement theory, quantum optics, interference of the fourth order
- Type of paper
: Paper in proceedings
Title: In Search for New Observables
- Authors:
- Pavičić, Mladen (77362)
- Editors
- van der Merwe, Alwyn
- Selleri, Franco
- Tarozzi, Gino
Proceedings title: Bell's Theorem and the Foundations of Modern Physics
Language: engleski
Place: Cesena, Italija
Year: 1991
ISBN/ISSN: 981-02-1088-4
Pages: from 371 to 374
Meeting: International Conference on Bell's Theorem and the Foundations of Modern Physics
Held: from 10/07/91 to 10/10/91
Summary: A non-counterfactual proof of the Bell result for only two
fixed
positions of detectors is given. It is also shown that the only
way to ascribe an individual quantum system a measured observableis to
postulate this. A new type of observables is conjectured.
Keywords: Bell's inequalities, quantum measurements, quantum logic
- Type of paper
: Paper in proceedings
Title: Preselected Sub-Poissonian Correlations
- Authors:
- Pavičić, Mladen (77362)
- Editors
- Peng, K. C.
- Kim, Y. S.
- Man'ko, V. I.
Proceedings title: 4th International Conference on Squeezed States and Uncertainity Relations
Language: engleski
Place: New York, USA
Year: 1995
Pages: from 0 to 0
Meeting: 4th International Conference on Squeezed States and Uncertainity Relations
Held: from 06/02/95 to 06/07/95
Summary: Two newly discovered effects in the intensity interference:
aspin correlation between formerly unpolarized photons and a
spinentanglement at-a-distance between photons that nowhereinteracted have
been used for a proposal of a new preselectionexperiment. The experiment
puts together two photons from twosinglets formed at two beam splitters and
makes them interfere ata third beam splitter, and as a result one finds
polarization
correlations between the other two photons whose paths nowhere
crossed even when no polarization measurement have been carried
out on the former two photons. It also turns out that the set oftwo photons
that nowhere interacted contains a subset of photonsin the singlet state
and since we are able to extract thesephotons with probability one, we can
consider them preselected bytheir pair-companion photons that interfered at
the beamsplitter. In this contribution a generalization of the
obtainedresults to photons is carried out and the
correspondingsub-Poissonian statistics which boil down to a
photon-numbersqueezed distribution is formulated.
Keywords: quantum optics, fourth-order interferometry, intensity interferometry, quantum mechanics
- Type of paper
: Manuscript
Title: Quantum Logic Is Decidable, Reports on Mathematical
Physics, (submitted, 1994).
- Authors:
- Pavičić, Mladen (77362)
Language: engleski
Summary: It is proved that quantum logic with finitely many
elementarypropositions does have the finite model property and isdecidable.
It is conjectured that quantum logic underlyingquantum Hilbert space
formalism - which has to have infinitelymany elementary propositions - is
not decidable.
Keywords: quantum logic, semantics of quantum logic
- Type of paper
: Manuscript
Title: Closure of the Enhancement and Detection Loopholes in the
Bell Theorem by the Fourth Order Interference, Physics Letters A
(submitted, 1994).
- Authors:
- Pavičić, Mladen (77362)
Language: engleski
Summary: A loophole-free Bell experiment using different frequency
photon interference of the fourth order on a beam splitter
is proposed. It enables detection of all photons leaving
the beam splitter, establishes an experimental procedure for
measuring unequal superposition without loss of detection
counts, and requires not more then 75% detection efficiency
to be feasible within the margins of more than 5% with the
current technology.
Keywords: quantum mechanics, quantum optics, Bell's theorem, interference of the fourth order
- Type of paper
: Manuscript
Title: Minimum Efficiency Required for a Loophole-Free
Einstein-Podolsky-Rosen Experiment, Physical Review A ŠRapid
CommunicationsĆ (submitted) 1995
- Authors:
- Pavičić, Mladen (77362)
Language: engleski
Summary: It is shown that the coincidence probabilities in
thefourth-order interference at an asymmetrical beam splitterviolate the
usual form of the Bell inequality with 67% detection
efficiency. No condition on the optimization method is imposedand no
background level is involved. It is also shown that aloophole-free Bell
experiment with a symmetric beam splitter ispossible with 86% efficiency. A
loophole-free Bell experimentrequiring 67% efficiency with independent
photons preselectedinto a non-maximal singlet-like state by means of an
asymmetricalbeam splitter is proposed without resorting to attenuation
ofbeams.
Keywords: quantum optics, interference of the fourth order, quantum mecahnics, Bell inequalities, Einstein-Podolsky-Rosen experiment
- Type of paper
: Other
Title: Can We Measure Probability-Measures in the Laboratory
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Atominstitut der ™sterreichischen Universit„ten, Vienna, 1993
Language: engleski
- Type of paper
: Other
Title: Interference of Four Correlated Beams from Nonlocal
Sources
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Inst. Theor. Phys., Technical University Berlin,July 16, 1993
Language: engleski
- Type of paper
: Other
Title: Notion of Spin Correlation Derived from the Interference
of the Fourth Order
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Dept. of Math., University of Prague, Prague, Nov. 25, 1993
Language: engleski
- Type of paper
: Other
Title: A New Axiomatization for the Unified Qautnum Logic
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Academy of Sciences, Bratislava, September 20, 1991
Language: engleski
- Type of paper
: Other
Title: Quantum Logic Based on a Probability Function
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, University of Genoa, Italy, February 13, 1992
Language: engleski
- Type of paper
: Other
Title: Measurement of Nonlocal Spin Correlations of Composite
Systems
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Atominstitut der ™sterreichischen Universit„ten, Vienna, 1993
Language: engleski
- Type of paper
: Other
Title: Quantum Mechanics without Properties: Interference of
Composite Systems
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, International Begegnungszentrum der Wissenschaft, Berlin, 1993
Language: engleski
- Type of paper
: Other
Title: Preselection of Correlated Photons from a Set of
Independent Photons
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Atominstitut der ™sterreichischen Universit„ten, Vienna, 1994
Language: engleski
- Type of paper
: Other
Title: How one can measure (đ1>+rđ2>) exactly when r is not equal
to 1
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Inst. Theor. Phys., Technical Univ. of Berlin, Dec. 21, 1994
Language: njemački
- Type of paper
: Other
Title: Exact Measuring of Equal and Unequal Superpositions by
Means of Quantum Intensity Interference
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lectured, Max-Planck-Ges. Humboldt University, Berlin, Dec. 22, 1994
Language: engleski
- Type of paper
: Other
Title: Only 67% Detection Efficiency Required for a Loophole-Free
Bell Experiment
- Authors:
- Pavičić, Mladen (77362)
Type of work: Invited lecture, Atominstitut der ™sterreichischen Universit„ten, Vienna, 1995
Language: engleski
