A Method for Constructing Quasi-Random Peaked Quantum Circuits

• URL: http://arxiv.org/abs/2508.07491v1
• Date: Sun, 10 Aug 2025 21:27:16 GMT
• Title: A Method for Constructing Quasi-Random Peaked Quantum Circuits
• Authors: O. G. Udalov,
• Abstract summary: An algorithm is proposed for constructing quasi-random "peaked" quantum circuits.<n>The algorithm allows precise control over the probability of the final peaked state.<n>A modified version of the algorithm enables the construction of double- or multi-peaked quantum circuits.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: An algorithm is proposed for constructing quasi-random "peaked" quantum circuits, i.e., circuits whose final qubit state exhibits a high probability concentration on a specific computational basis state. These circuits consist of random gates arranged in a brick-wall architecture. While the multiqubit state in the middle of the circuit can exhibit significant entanglement, the final state is, with high probability, a predetermined pure bitstring. A technique is introduced to obscure the final bitstring in the structure of the quantum circuit. The algorithm allows precise control over the probability of the final peaked state. A modified version of the algorithm enables the construction of double- or multi-peaked quantum circuits. The matrix product state (MPS) method is evaluated for simulating such circuits; it performs effectively for shallow peaked circuits but offers no significant advantage for deeper ones.

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