Entangled State Evolution and Entanglement Transfer in Quantum Mesoscopic Coupled Circuits

2020 ◽  
Vol 89 (9) ◽  
pp. 094005
Author(s):  
Zhuoyuan Wang ◽  
Shi Yao Chong ◽  
Peihong Cheng ◽  
Peng An ◽  
Jian Qi Shen
Keyword(s):  
Entangled State ◽  
State Evolution ◽  
Entanglement Transfer ◽  
Coupled Circuits

scholarly journals QUANTUM ENTANGLEMENT TRANSFER BETWEEN SPIN PAIRS

2010 ◽  
Vol 08 (07) ◽  
pp. 1111-1120 ◽  
Author(s):  
QING-YOU MENG ◽  
FU-LIN ZHANG ◽  
JING-LING CHEN
Keyword(s):  
Quantum Entanglement ◽  
Entangled State ◽  
Specific Time ◽  
Initial State ◽  
Maximally Entangled State ◽  
Initial States ◽  
Entanglement Transfer ◽  
Spin Pairs ◽  
Almost All

The transfer of entanglement from source particles (SPs) to target particles (TPs) via the Heisenberg interaction H = s1 ⋅ s2 has been investigated. In our research, TPs are two qubits and SPs are two qubits or qutrits. When TPs are two qubits, we find that no matter what state the TPs are initially prepared in, at the specific time t = π the quantity of entanglement of the TPs can attain 1 after interaction with the SPs which stay on the maximally entangled state. When TPs are two qutrits, the maximal quantity of entanglement of the TPs is proportional to the quantity of entanglement of the initial state of the TPs and cannot attain 1 for almost all the initial states of the TPs. Here we propose an iterated operation which can make the TPs go to the maximal entangled state.

Multiatom entanglement dynamics and entanglement transfer between remote cavities via optical fibers

2011 ◽  
Vol 89 (7) ◽  
pp. 753-759 ◽  
Author(s):  
Qi-Liang He ◽  
Ye-Qi Zhang ◽  
Jing-Bo Xu
Keyword(s):  
Sudden Death ◽  
Optical Fibers ◽  
Initial Conditions ◽  
Single Mode ◽  
Entangled State ◽  
Entanglement Sudden Death ◽  
Entanglement Dynamics ◽  
State Transfer ◽  
Perfect Transfer ◽  
Entanglement Transfer

We investigate the entanglement dynamics of a system that consists of four single-mode cavities that are spatially separated and connected by two optical fibers, with multiple two-level atoms trapped in each cavity. It is shown that the phenomenon of entanglement sudden death and sudden birth appears in this system and is sensitive to the initial conditions and the parameter r. In addition, we also study the entanglement and entangled state transfer between the atoms and find that a perfect transfer can be realized if the value of the parameter r satisfies a certain condition, established here.

Assigning Values and States

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum State ◽  
Density Operator ◽  
Entangled State ◽  
Physical Situation ◽  
Born Rule ◽  
Correct Assignment ◽  
Significant Magnitude ◽  
Good Advice ◽  
Empirical Significance ◽  
Important Idea

If a quantum state is prescriptive then what state should an agent assign, what expectations does this justify, and what are the grounds for those expectations? I address these questions and introduce a third important idea—decoherence. A subsystem of a system assigned an entangled state may be assigned a mixed state represented by a density operator. Quantum state assignment is an objective matter, but the correct assignment must be relativized to the physical situation of an actual or hypothetical agent for whom its prescription offers good advice, since differently situated agents have access to different information. However this situation is described, it is true, empirically significant magnitude claims that make the description correct, while others provide the objective grounds for the agent’s expectations. Quantum models of environmental decoherence certify the empirical significance of these magnitude claims while also licensing application of the Born rule to others without mentioning measurement.

Entanglement

2017 ◽  
Author(s):  
Richard Healey
Keyword(s):  
Quantum Theory ◽  
Quantum State ◽  
Physical Condition ◽  
Physical System ◽  
Polarization State ◽  
Quantum Systems ◽  
Ghz State ◽  
Mathematical Representation ◽  
Entangled State ◽  
Physical Relation

Often a pair of quantum systems may be represented mathematically (by a vector) in a way each system alone cannot: the mathematical representation of the pair is said to be non-separable: Schrödinger called this feature of quantum theory entanglement. It would reflect a physical relation between a pair of systems only if a system’s mathematical representation were to describe its physical condition. Einstein and colleagues used an entangled state to argue that its quantum state does not completely describe the physical condition of a system to which it is assigned. A single physical system may be assigned a non-separable quantum state, as may a large number of systems, including electrons, photons, and ions. The GHZ state is an example of an entangled polarization state that may be assigned to three photons.

scholarly journals Trophic State Evolution over 15 Years in a Tropical Reservoir with Low Nitrogen Concentrations and Cyanobacteria Predominance

2016 ◽  
Vol 227 (3) ◽  
Author(s):  
Frederico Guilherme de Souza Beghelli ◽  
Daniele Frascareli ◽  
Marcelo Luiz Martins Pompêo ◽  
Viviane Moschini-Carlos
Keyword(s):  
Trophic State ◽  
Tropical Reservoir ◽  
State Evolution ◽  
Nitrogen Concentrations ◽  
Low Nitrogen

scholarly journals Resistance state evolution under constant electric stress on a MoS2 non-volatile resistive switching device

RSC Advances ◽  
2020 ◽  
Vol 10 (69) ◽  
pp. 42249-42255
Author(s):  
Xiaohan Wu ◽  
Ruijing Ge ◽  
Yifu Huang ◽  
Deji Akinwande ◽  
Jack C. Lee
Keyword(s):  
Resistive Switching ◽  
Constant Voltage ◽  
Switching Device ◽  
Current Stress ◽  
Electric Stress ◽  
State Evolution ◽  
Conductive Bridge ◽  
Resistance State ◽  
Switching Devices

Constant voltage and current stress were applied on MoS2 resistive switching devices, showing unique behaviors explained by a modified conductive-bridge-like model.

scholarly journals Universal Qudit Hamiltonians

2021 ◽  
Author(s):  
Stephen Piddock ◽  
Ashley Montanaro
Keyword(s):  
State Energy ◽  
Entangled State ◽  
Quantum Computers ◽  
List Type ◽  
Universal Family ◽  
Finite Dimensional ◽  
Universal Quantum ◽  
Aklt Model ◽  
Almost All ◽  
Natural Way

AbstractA family of quantum Hamiltonians is said to be universal if any other finite-dimensional Hamiltonian can be approximately encoded within the low-energy space of a Hamiltonian from that family. If the encoding is efficient, universal families of Hamiltonians can be used as universal analogue quantum simulators and universal quantum computers, and the problem of approximately determining the ground-state energy of a Hamiltonian from a universal family is QMA-complete. One natural way to categorise Hamiltonians into families is in terms of the interactions they are built from. Here we prove universality of some important classes of interactions on qudits (d-level systems): We completely characterise the k-qudit interactions which are universal, if augmented with arbitrary Hermitian 1-local terms. We find that, for all $$k \geqslant 2$$ k ⩾ 2 and all local dimensions $$d \geqslant 2$$ d ⩾ 2 , almost all such interactions are universal aside from a simple stoquastic class. We prove universality of generalisations of the Heisenberg model that are ubiquitous in condensed-matter physics, even if free 1-local terms are not provided. We show that the SU(d) and SU(2) Heisenberg interactions are universal for all local dimensions $$d \geqslant 2$$ d ⩾ 2 (spin $$\geqslant 1/2$$ ⩾ 1 / 2 ), implying that a quantum variant of the Max-d-Cut problem is QMA-complete. We also show that for $$d=3$$ d = 3 all bilinear-biquadratic Heisenberg interactions are universal. One example is the general AKLT model. We prove universality of any interaction proportional to the projector onto a pure entangled state.

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