2024 Geometry of phase-covariant qubit channels

Geometry of phase-covariant qubit channels

Author: qjnb

August undefined, 2024

WebOct 31, 2024 · We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamio {\l}kowski states, we derive the Hilbert … WebMar 29, 2024 · Phase covariant qubit dynamics describes an evolution of a two-level system under simultaneous action of pure dephasing, energy dissipation, and energy …

Programmability of covariant quantum channels

WebRiemannian geometry and automatic differentiation for optimization problems of quantum physics and quantum technologies. ... Phase Covariant Qubit Dynamics and Divisibility. Lobachevskii Journal of Mathematics ... Evaluation of non-unital qubit channel capacities. Uchenye Zapiski Kazanskogo Universiteta. Seriya Fiziko-Matematicheskie Nauki cruise control nissan altima 2014

[1911.09468] Phase covariant qubit dynamics and divisibility

WebJan 15, 2007 · On Weyl channels being covariant with respect to the maximum commutative group of unitaries Full Record Research Abstract We investigate the Weyl channels being covariant with respect to the maximum commutative group of unitary operators. This class includes the quantum depolarizing channel and the 'two-Pauli' … WebGeometry of phase-covariant qubit channels Katarzyna Siudzińska Institute of Physics, Faculty of Physics, Astronomy and Informatics Nicolaus Copernicus University in Toruń, ul. Grudziądzka 5, 87–100 Toruń, Poland We analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the WebApr 17, 2024 · By focusing on the frequency estimation in the presence of phase-covariant noise, as the first main example to demonstrate the reliability and efficiency of the method, a useful prescription for practical estimation is provided, by determining the optimal initial state and the optimal measurement. marabutto significato

[2210.17448v2] Geometry of phase-covariant qubit channels

Noisy metrology: a saturable lower bound on quantum Fisher

WebPhase covariant qubit dynamics and divisibility S. N. Filippov,1,2,3 A. N. Glinov,1,2 and L. Leppäjärvi4 1Steklov Mathematical Institute of Russian Academy of Sciences, Gubkina St. 8, Moscow 119991, Russia 2Moscow Institute of Physics and Technology, Institutskii Per. 9, Dolgoprudny 141700, Russia 3Valiev Institute of Physics and Technology of Russian … WebMar 15, 2007 · @article{osti_20982251, title = {Simulating a single-qubit channel using a mixed-state environment}, author = {Narang, Geetu and Arvind, and Department of Physics, Indian Institute of Madras, 600036}, abstractNote = {We analyze the class of single-qubit channels with the environment modeled by a one-qubit mixed state. The set of affine … marabutto bordigheraWebOct 26, 2024 · Geometric phase gates are promising tools toward robust quantum computing owing to their robustness against certain control errors and decoherence. … marabunta tattoo

"WebOur result generalizes previous results concerning quantum NOT gate for a quantum state distributed uniformly on the whole Bloch sphere as well as the phase covariant quantum state. We have also shown that such 1-to-$M$ optimized NOT gate can be implemented using a sequential generation scheme via matrix product states (MPS). Download Free PDF " - Geometry of phase-covariant qubit channels

Geometry of phase-covariant qubit channels

Phase-covariant quantum benchmarks (Journal Article) OSTI.GOV

WebWe ﬁnd the shapes and analytically compute the volumes of phase-covariant channels, in particular entanglement breaking and obtainable with time-local generators. We analyze … WebJun 21, 2024 · We analyze convex combinations of non-unital qubit maps that are phase-covariant. In particular, we consider the behavior of maps that combine amplitude …

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WebWe analyze the geometry on the space of non-unital phase-covariant qubit maps. Using the corresponding Choi-Jamiołkowski states, we derive the Hilbert-Schmidt line and volume … WebDespite counter-examples like the two-Pauli channel, the possibility that the set of single Md = R M S (10) qubit channels simulated using a mixed state environ- ment may occupy a sizable volume in the space of single where R and S are real orthogonal matrices with unit de- qubit channels remains open, and it may turn out that terminant and Md ...

WebMar 15, 2010 · This paper proposes a simple scheme to generate a four-atom entangled cluster state in cavity quantum electrodynamics. With the assistantce of a strong classical field the cavity is only virtually excited and no quantum information will be transferred from the atoms to the cavity during the preparation for a four-atom entangled cluster state, … WebJul 29, 2024 · We find a set of quantum channels attainable in the completely positive divisible phase covariant dynamics and show that this set coincides with the set of …

WebJun 21, 2024 · Geometry of phase-covariant qubit channels [0.0] We derive the Hilbert-Schmidt line and volume elements using the channel eigenvalues together with the parameter that characterizes non-unitality. Webtask dataset model metric name metric value global rank remove

WebII. OPTIMAL PHASE-COVARIANT CLONING A cloning map is a special kind of quantum channel, i.e. a trace-preserving CP map. In the cloning case, the CP mapC goes from …

WebOur linear optical implementation is based on the encoding of qubits into polarization states of single photons, two-photon interference on a polarizing beam splitter, and measurement on the output program qubit. We fully characterize the programmable gate by quantum process tomography. maraca alto horizonteWebPhase-covariant qubit channels Themostgeneralformofthephase-covariantqubitchannelreads[27,28] Λ[X]= 1 2 [(I +λ∗σ 3)TrX+λ 1σ 1Tr(σ 1X)+λ 1σ 2Tr(σ 2X)+λ 3σ 3Tr(σ 3X)],(6) whereσ αarethePaulimatrices.Moreover,λ 1andλ 3aretwoofitseigenvalues(λ 1istwo-times … cruise control opel corsa d aanzettenWebISSN 1995-0802, LobachevskiiJournal ofMathematics,2024, Vol.41, No.4, pp. 617–630. c PleiadesPublishing,Ltd.,2024. Phase Covariant Qubit Dynamics and Divisibility S ... mara busto arsizioWebAug 23, 2024 · We formulate a covariant description of a relativistic qubit identified with an irreducible set of quantum spin states of a Majorana particle with a sharp momentum. We treat the particle’s four-momentum as an external parameter. We show that it is possible to define an interesting time evolution of the spin density matrix of such a qubit. mara cagnoliWebNov 21, 2024 · Phase covariant qubit dynamics and divisibility S. N. Filippov, A. N. Glinov, L. Leppäjärvi Phase covariant qubit dynamics describes an evolution of a two-level system under simultaneous action of pure dephasing, energy dissipation, and energy gain with time-dependent rates , , and , respectively. cruise control scooter supplierWebWeyl-covariant)[20,24,25]andgeneralizedPaulichannels[26]. Another special case of covariant channels are phase-covariant qubit maps, which are … maraca buckle pentagon chinWebOct 31, 2024 · We analyze quantum communication properties of phase-covariant channels depending on their degree of non-unitality. In particular, we derive analytical … cruise control svenska