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Aug 19, 2015The quantum min cut is defined to be the minimum product of the capacities of edges over all cuts of the tensor network. We show that unlike the�...
Oct 3, 2021In this paper, we establish a quantum max-flow min-cut theorem for a new definition of quantum maximum flow.
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Theorem 3.8 shows that if the capacity of each edge in a graph is a power of some fixed integer, then the quantum max-flow equals quantum min-cut. However�...
The max-flow min-cut theorem in graph theory states that the maximum flow of a network is equal to the minimum cut of edges of the flow network.
Jun 21, 2016The classical max-flow min-cut theorem describes transport through certain idealized classical networks. We consider the quantum analog for�...
Jan 17, 2023I am trying to find the minimum cut for a given graph. I am using QAOA and refering to the qiskit textbook: https://qiskit.org/textbook/ch-applications/qaoa.�...
Jul 1, 2023One min-cut is {1, 3, 6}, with value 17. (a general way to find a min-cut once you have a max-flow: in the residual network, start at the source�...
Nov 16, 2016The quantum max-flow min-cut conjecture relates the rank of a tensor network to the minimum cut in the case that all tensors in the network�...
Jul 24, 2024The max-flow min-cut theorem in graph theory states that the maximum flow of a network is equal to the minimum cut of edges of the flow�...
The classical max-flow min-cut theorem describes transport through certain idealized classical networks. We consider the quantum analog for tensor networks.