The Symmetries of Quantum and Classical Information. The Ressurected “Ether" of Quantum Information

2021 ◽  
Author(s):  
Vasil Penchev
Keyword(s):  
Quantum Information ◽  
Classical Information

Probabilistic secret sharing through noise quantum channe

2012 ◽  
Vol 12 (3&4) ◽  
pp. 253-261
Author(s):  
Satyabrata Adhikari ◽  
Indranil Chakrabarty ◽  
Pankaj Agrawal
Keyword(s):  
Quantum Information ◽  
Secret Sharing ◽  
Mixed State ◽  
Pure State ◽  
Noisy Channel ◽  
Noisy Channels ◽  
Superdense Coding ◽  
Classical Information ◽  
Phase Damping ◽  
Realistic Situation

In a realistic situation, the secret sharing of classical or quantum information will involve the transmission of this information through noisy channels. We consider a three qubit pure state. This state becomes a mixed-state when the qubits are distributed over noisy channels. We focus on a specific noisy channel, the phase-damping channel. We propose a protocol for secret sharing of classical information with this and related noisy channels. This protocol can also be thought of as cooperative superdense coding. We also discuss other noisy channels to examine the possibility of secret sharing of classical information.

scholarly journals The Information Coding in the Time Structure of the Object of a Laser Pulse in an Optical Echo Processor

2012 ◽  
Vol 2012 ◽  
pp. 1-5 ◽  
Author(s):  
L. A. Nefediev ◽  
A. R. Sakhbieva
Keyword(s):  
Information Theory ◽  
Quantum Information ◽  
Laser Pulses ◽  
Information Coding ◽  
Algorithmic Information Theory ◽  
Time Intervals ◽  
Classical Information ◽  
Information Transformation ◽  
Algorithmic Information ◽  
Echo Processor

The encoding of information in time intervals of an echelon of laser pulses of an object pulse in the optical echo processor is considered. The measures of information are introduced to describe the transformation of classical information in quantum information. It is shown that in the description of information transformation into quantum information, the most appropriate measure is a measure of quantum information based on the algorithmic information theory.

scholarly journals Encryption with weakly random keys using quantum ciphertext

2012 ◽  
Vol 12 (5&6) ◽  
pp. 395-403
Author(s):  
Jan Bouda ◽  
Matej Pivoluska ◽  
Martin Plesch
Keyword(s):  
Information Processing ◽  
Quantum Information ◽  
Quantum Information Processing ◽  
Single Case ◽  
Full Information ◽  
Classical Information ◽  
Random Source ◽  
Random Keys

The lack of perfect randomness can cause significant problems in securing communication between two parties. McInnes and Pinkas \cite{McInnesPinkas-ImpossibilityofPrivate-1991} proved that unconditionally secure encryption is impossible when the key is sampled from a weak random source. The adversary can always gain some information about the plaintext, regardless of the cryptosystem design. Most notably, the adversary can obtain full information about the plaintext if he has access to just two bits of information about the source (irrespective on length of the key). In this paper we show that for every weak random source there is a cryptosystem with a classical plaintext, a classical key, and a quantum ciphertext that bounds the adversary's probability $p$ to guess correctly the plaintext strictly under the McInnes-Pinkas bound, except for a single case, where it coincides with the bound. In addition, regardless of the source of randomness, the adversary's probability $p$ is strictly smaller than $1$ as long as there is some uncertainty in the key (Shannon/min-entropy is non-zero). These results are another demonstration that quantum information processing can solve cryptographic tasks with strictly higher security than classical information processing.

scholarly journals Both classical & quantum information: both bit & qubit. Both physical & transcendental time

2021 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Quantum Information ◽  
Mathematical Concept ◽  
Classical Information ◽  
Finite Series ◽  
Physical Action ◽  
Time Arrow

Information can be considered as the most fundamental, philosophical,physical and mathematical concept originating from the totality by means of physicaland mathematical transcendentalism (the counterpart of philosophicaltranscendentalism). Classical and quantum information, particularly by their units, bitand qubit, correspond and unify the finite and infinite. As classical information isrelevant to finite series and sets, as quantum information, to infinite ones. Afundamental joint relativity of the finite and infinite, of the external and internal is tobe investigated. The corresponding invariance is able to define physical action and itsquantity only on the basis of information and especially: on the relativity of classicaland quantum information. The concept of transcendental time, an epoché in relation tothe direction of time arrow can be defined. Its correlate is that information invariant tothe finite and infinite, therefore unifying both classical and quantum information.

scholarly journals Quantum information as the information of infinite series

2020 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Quantum Mechanics ◽  
Quantum Information ◽  
Coherent State ◽  
Infinite Series ◽  
Axiom Of Choice ◽  
Classical Information ◽  
The Axiom Of Choice

The quantum information introduced by quantum mechanics is equivalent to that generalization of the classical information from finite to infinite series or collections. The quantity of information is the quantity of choices measured in the units of elementary choice. The qubit, can be interpreted as that generalization of bit, which is a choice among a continuum of alternatives. The axiom of choice is necessary for quantum information. The coherent state is transformed into a well-ordered series of results in time after measurement. The quantity of quantum information is the ordinal corresponding to the infinity series in question.1

scholarly journals “Two bits less” after quantum-information conservation and their interpretation as “distinguishability / indistinguishability” and “classical / quantum”

2021 ◽  
Author(s):  
Vasil Dinev Penchev
Keyword(s):  
Quantum Information ◽  
Set Theory ◽  
Propositional Logic ◽  
Complex Hilbert Space ◽  
Wave Functions ◽  
Foundations Of Mathematics ◽  
Classical Information ◽  
Quantum Indistinguishability ◽  
Classical Quantum ◽  
Information Conservation

The paper investigates the understanding of quantum indistinguishability afterquantum information in comparison with the “classical” quantum mechanics based on theseparable complex Hilbert space. The two oppositions, correspondingly “distinguishability/ indistinguishability” and “classical / quantum”, available implicitly in the concept of quantumindistinguishability can be interpreted as two “missing” bits of classical information, whichare to be added after teleportation of quantum information to be restored the initial stateunambiguously. That new understanding of quantum indistinguishability is linked to thedistinction of classical (Maxwell-Boltzmann) versus quantum (either Fermi-Dirac orBose-Einstein) statistics. The latter can be generalized to classes of wave functions (“empty” qubits) and represented exhaustively in Hilbert arithmetic therefore connectible to the foundations of mathematics, more precisely, to the interrelations of propositional logic and set theory sharing the structure of Boolean algebra and two anti-isometric copies of Peano arithmetic.

scholarly journals Energy-Efficient Mining on a Quantum-Enabled Blockchain Using Light

Ledger ◽  
2019 ◽  
Vol 4 ◽  
Author(s):  
Adam J Bennet ◽  
Shakib Daryanoosh
Keyword(s):  
Quantum Information ◽  
Energy Efficient ◽  
Quantum Physics ◽  
Network Code ◽  
Digital Systems ◽  
Quantum Devices ◽  
Classical Information ◽  
Open Questions ◽  
Interactive Mining ◽  
Quantum Internet

We outline a quantum-enabled blockchain architecture based on a consortium of quantum servers. The network is hybridised, utilising digital systems for sharing and processing classical information combined with a fibre-optic infrastructure and quantum devices for transmitting and processing quantum information. We deliver an energy efficient interactive mining protocol enacted between clients and servers which uses quantum information encoded in light and removes the need for trust in network infrastructure. Instead, clients on the network need only trust the transparent network code, and that their devices adhere to the rules of quantum physics. To demonstrate the energy efficiency of the mining protocol, we elaborate upon the results of two previous experiments (one performed over 1km of optical fibre) as applied to this work. Finally, we address some key vulnerabilities, explore open questions, and observe forward-compatibility with the quantum internet and quantum computing technologies.

scholarly journals Both Classical and Quantum Information: Both Bit and Qubit. Both Physical and Transcendental Time

2021 ◽  
Author(s):  
Vasil Penchev
Keyword(s):  
Quantum Information ◽  
Mathematical Concept ◽  
Classical Information ◽  
Finite Series ◽  
Physical Action ◽  
Time Arrow

Information can be considered as the most fundamental, philosophical, physical and mathematical concept originating from the totality by means of physical and mathematical transcendentalism (the counterpart of philosophical transcendentalism). Classical and quantum information, particularly by their units, bit and qubit, correspond and unify the finite and infinite. As classical information is relevant to finite series and sets, as quantum information, to infinite ones. A fundamental joint relativity of the finite and infinite, of the external and internal is to be investigated. The corresponding invariance is able to define physical action and its quantity only on the basis of information and especially: on the relativity of classical and quantum information. The concept of transcendental time, an epoché in relation to the direction of time arrow can be defined. Its correlate is that information invariant to the finite and infinite, therefore unifying both classical and quantum information.

Quantum communication protocols using the vacuum

2003 ◽  
Vol 3 (5) ◽  
pp. 423-430
Author(s):  
S.J. van Enk ◽  
T. Rudolph
Keyword(s):  
Quantum Information ◽  
Quantum Communication ◽  
Communication Protocols ◽  
Classical Information ◽  
Coin Flipping

We speculate what quantum information protocols can be implemented between two accelerating observers using the vacuum. Whether it is in principle possible or not to implement a protocol depends on whether the aim is to end up with classical information or quantum information. Thus, unconditionally secure coin flipping seems possible but not teleportation.

Communication

2021 ◽  
pp. 223-260
Author(s):  
Jochen Rau
Keyword(s):  
Quantum Information ◽  
Quantum System ◽  
Quantum State ◽  
Upper Bound ◽  
Carrying Capacity ◽  
Quantitative Measure ◽  
Important Application ◽  
Classical Information ◽  
Mathematical Properties ◽  
Cryptographic Keys

This chapter introduces the notions of classical and quantum information and discusses simple protocols for their exchange. It defines the entropy as a quantitative measure of information, and investigates its mathematical properties and operational meaning. It discusses the extent to which classical information can be carried by a quantum system and derives a pertinent upper bound, the Holevo bound. One important application of quantum communication is the secure distribution of cryptographic keys; a pertinent protocol, the BB84 protocol, is discussed in detail. Moreover, the chapter explains two protocols where previously shared entanglement plays a key role, superdense coding and teleportation. These are employed to effectively double the classical information carrying capacity of a qubit, or to transmit a quantum state with classical bits, respectively. It is shown that both protocols are optimal.

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