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Consider a photon that has just emerged from a linear polarizing filter. If the photon is then subjected to an orthogonal polarization measurement-e.g., horizontal vs vertical-the photon's preparation cannot be fully expressed in the…

Quantum Physics · Physics 2013-01-11 William K. Wootters

Lorentz invariance violations (LIV) can yield vacuum birefringence, which results in an energy-dependent rotation of the polarization vector of linearly polarized emission from astrophysical sources. It is believed that if the relative…

High Energy Astrophysical Phenomena · Physics 2019-05-10 Jun-Jie Wei

It is well established that unpolarized light is invariant with respect to any SU(2) polarization transformation. This requirement fully characterizes the set of density matrices representing unpolarized states. We introduce the degree of…

Quantum Physics · Physics 2007-05-23 A. B. Klimov , L. L. Sanchez-Soto , E. C. Yustas , J. Soderholm , G. Bjork

We have studied relative-intensity fluctuations for a variable set of orthogonal elliptic polarization components of a linearly polarized laser beam traversing a resonant $^{87}$Rb vapor cell. Significant polarization squeezing at the…

Quantum Physics · Physics 2015-05-28 S. Barreiro , P. Valente , H. Failache , A. Lezama

It is demonstrated that for the entanglement-based version of the Bennett-Brassard (BB84) quantum key distribution protocol, Alice and Bob share provable entanglement if and only if the estimated qubit error rate is below 25% or above 75%.…

Quantum Physics · Physics 2007-05-23 Georgios M. Nikolopoulos , Gernot Alber

We derive a relation between the two polarization modes of a plane, linear gravitational wave in the second-order approximation. Since these two polarizations are not independent, an initially monochromatic gravitational wave loses its…

General Relativity and Quantum Cosmology · Physics 2011-10-05 Nikodem J. Poplawski

Any one measurement with polarized light makes it possible to fix the Mueller matrices of the Lorentz type with up to four arbitrary numeric parameters (x, u; z, w). These parameters are subject to the quadratic condition. It is…

Optics · Physics 2012-01-24 E. M. Ovsiyuk , N. V. Gutsko , V. M. Red'kov

Given a vector space with two multiplications, one commutative the other anticommutative, possibly connected by a distributive law, the depolarization principle allows to look at this triplet through a single nonassociative multiplication.…

Rings and Algebras · Mathematics 2024-04-03 Elisabeth Remm

We consider a modified version of the BB84 quantum key distribution protocol in which the angle between two different bases are less than $\pi/4$. We show that the channel parameter estimate becomes the same as the original protocol with…

Quantum Physics · Physics 2010-03-22 Ryutaroh Matsumoto , Shun Watanabe

We consider finite-level, symmetric quantization procedures for construction and decoding of polar codes. Whether polarization occurs in the presence of quantization is not known in general. Hassani and Urbanke have shown that a simple…

Information Theory · Computer Science 2020-05-12 Yunus Inan , Emre Telatar

We calculate the entanglement between a pair of polarization-entangled photon beams as a function of the reference frame, in a fully relativistic framework. We find the transformation law for helicity basis states and show that, while it is…

Quantum Physics · Physics 2007-05-23 Attila J. Bergou , Robert M. Gingrich , Christoph Adami

We describe how to modify the BB84 protocol for quantum cryptography in order to make it deterministic. We study both theoretical and experimental aspects of this issue, showing that the new scheme is as secure as the old one, more…

Quantum Physics · Physics 2007-07-27 M. Lucamarini , J. S. Shaari , M. R. B. Wahiddin

We show that local parity violation due to chirality imbalance in relativistic nuclear collisions can be revealed by measuring the projection of the polarization vector onto the momentum, i.e. the helicity, of final state baryons. The…

High Energy Physics - Phenomenology · Physics 2021-10-08 F. Becattini , M. Buzzegoli , A. Palermo , G. Prokhorov

Cryptographic scheme proposed by Bennett, Brassard, and Mermin [Phys. Rev. Lett. {\bf 68}, 557 (1992)] is reformulated in a version involving two polarizing Mach-Zehnder interferometers. Such a form, although physically equivalent to the…

Quantum Physics · Physics 2009-10-31 Marek Czachor

The disturbance effect of a depolarizing channel on the security of the quantum key distribution of the four state BB84 protocol with multiple sequentiel intercept and resend attacks of many eavesdroppers, has been studied. The quantum bit…

Quantum Physics · Physics 2013-03-01 Mustapha Dehmani , Mohamed Errahmani , Hamid Ez-Zahraouy , Abdelilah Benyoussef

A new derivation of the relativistic aberration formula for a plane-polarized light wave is presented that does not require any use of the Lorentz transformation. The method is based on a modification of the Huygens-Fresnel principle to…

Optics · Physics 2007-05-23 Aleksandar Gjurchinovski

We linearize the Einstein equations when the metric is Bondi-Sachs, when the background is Schwarzschild or Minkowski, and when there is a matter source in the form of a thin shell whose density varies with time and angular position. By…

General Relativity and Quantum Cosmology · Physics 2009-11-10 Nigel T. Bishop

Channel polarization is a method of constructing capacity achieving codes for symmetric binary-input discrete memoryless channels (B-DMCs) [1]. In the original paper, the construction complexity is exponential in the blocklength. In this…

Information Theory · Computer Science 2009-05-23 Ryuhei Mori , Toshiyuki Tanaka

Most Quantum Key Distribution protocols use a two-dimensional basis such as HV polarization as first proposed by Bennett and Brassard in 1984. These protocols are consequently limited to a key generation density of 1 bit per photon. We…

Quantum Physics · Physics 2020-01-14 T. B. H. Tentrup , W. M. Luiten , R. van der Meer , P. Hooijschuur , P. W. H. Pinkse

We develop a nonperturbative approach to the bulk polarization of crystalline electric insulators in $d\geq1$ dimensions. Formally, we define polarization via the response to background fluxes of both charge and lattice translation…

Mesoscale and Nanoscale Physics · Physics 2021-04-07 Xue-Yang Song , Yin-Chen He , Ashvin Vishwanath , Chong Wang