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merav-aharoni committed Aug 25, 2019
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"source": [
"## Introduction\n",
"`Tensor networks` are used as an alternate representation for a network of qubits. This representation consists of a network of tensors with connections among them. The `matrix product state` (MPS) is the simplest type of tensor network, where we have a one dimensional set of tensors, with connections between every two consecutive tensors. This representation can be used to represent a system of qubits, where each qubit is represented by one tensor. The MPS structure is often depicted graphically, as follows: \n",
"![](mps.jpg)"
"![](images/mps.jpg)"
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{
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"\n",
"We demonstrate this in the following graph. We ran these two simulation methods on a set of randomly generated circuits, where the percentage of two-qubit gates is 0.1. The depth of the circuits is kept constant at 120 gates. The final computation of the circuit is the expectation value of random Pauli gates on 5 random qubits.\n",
"\n",
"![](graph_of_random_circuits.jpg)"
"![](images/graph_of_random_circuits.jpg)"
]
}
],
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