Legal participants are conveniently designated with the quantum route selection using the entanglement of the encoded graph states. Each participant holds a vertex of the graph state so that legal participants are selected through performing operations on specific vertices. The Chinese remainder theorem ...
Daniel E. Browne, and Hans J. Briegel. "Measurement-based quantum computation on cluster states....
More information about labels for basis states are in from_label(). import numpy as np from qiskit import QuantumCircuit circuit = QuantumCircuit(2) circuit.initialize('01', circuit.qubits) circuit.draw() ┌──────────────────┐ q_0:┤0 ├ │ Initialize(0,1)│ q_...
Daniel E. Browne, and Hans J. Briegel. "Measurement-based quantum computation on cluster states....
Quantum networks lead to novel notions of locality and correlations and an important problem concerns the question of which quantum states can be experimentally prepared with a given network structure and devices and which not. We prove that all multi-qubit graph states arising from a connected gra...
Indeed, graph states are also the basis for universal measurement-based quantum computation22–27, error correction28–35 and blind quantum computation8,9, making them versatile resources for distributed quantum information processing. In this work, we report an experimental demonstration of graph state...
In this work we propose graphical representation of quantum states. Pure states require weighted digraphs with complex weights, while mixed states need, in general, edge weighted digraphs with loops; constructions which, to the best of our knowledge, are new in the theory of graphs. Both the ...
Graph states are widely used in quantum information theory, including entanglement theory, quantum error correction, and one-way quantum computing. Graph states have a nice structure related to a certain graph, which is given by either a stabilizer group or an encoding circuit, both can be ...
3f. Quantum error detection and correction. Finally, we check the graph code's ability to detect general quantum errors. To see this note that the logical code states are all common eigenstates of the stabilizer operators S1 ¼ Y1Z2Z4Y5 ¼ K1K5, S2 ¼ Y1Z2Y4Z5 ¼ K1K4 and...
(prover) who can prepare arbitrary quantum states. In order to perform MBQC, Alice delegates the preparation of then-qudit graph state\(\left\vert G\right\rangle \in {{{\mathcal{H}}}\)to Bob, who then prepares a quantum stateρon the whole space\({{{\mathcal{H}}}^{\otimes ...