dorsal/arxiv
View SchemaReply to M. Ziman's "Notes on optimality of direct characterization of quantum dynamics"
| Authors | M. Mohseni, D. A. Lidar |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0604114 |
| URL | https://arxiv.org/abs/quant-ph/0604114 |
Abstract
Recently M. Ziman [quant-ph/0603151] criticized our approach for quantifying the required physical resources in the theory of Direct Characterization of Quantum Dynamics (DCQD) [quant-ph/0601033, quant-ph/0601034] in comparison to other quantum process tomography (QPT) schemes. Here we argue that Ziman's comments regarding optimality, quantumness, and the novelty of DCQD are inaccurate. Specifically, we demonstrate that DCQD is optimal with respect to both the required number of experimental configurations and the number of possible outcomes over all known QPT schemes in the 2^{2n} dimensional Hilbert space of n system and n ancilla qubits. Moreover, we show DCQD is more efficient than all known QPT schemes in the sense of overall required number of quantum operations. Furthermore, we argue that DCQD is a new method for characterizing quantum dynamics and cannot be considered merely as a subclass of previously known QPT schemes.
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"date_created": "2026-03-02T18:02:27.564000Z",
"date_modified": "2026-03-02T18:02:27.564000Z",
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"abstract": "Recently M. Ziman [quant-ph/0603151] criticized our approach for quantifying\nthe required physical resources in the theory of Direct Characterization of\nQuantum Dynamics (DCQD) [quant-ph/0601033, quant-ph/0601034] in comparison to\nother quantum process tomography (QPT) schemes. Here we argue that Ziman\u0027s\ncomments regarding optimality, quantumness, and the novelty of DCQD are\ninaccurate. Specifically, we demonstrate that DCQD is optimal with respect to\nboth the required number of experimental configurations and the number of\npossible outcomes over all known QPT schemes in the 2^{2n} dimensional Hilbert\nspace of n system and n ancilla qubits. Moreover, we show DCQD is more\nefficient than all known QPT schemes in the sense of overall required number of\nquantum operations. Furthermore, we argue that DCQD is a new method for\ncharacterizing quantum dynamics and cannot be considered merely as a subclass\nof previously known QPT schemes.",
"arxiv_id": "quant-ph/0604114",
"authors": [
"M. Mohseni",
"D. A. Lidar"
],
"categories": [
"quant-ph"
],
"title": "Reply to M. Ziman\u0027s \"Notes on optimality of direct characterization of quantum dynamics\"",
"url": "https://arxiv.org/abs/quant-ph/0604114"
},
"schema_id": "dorsal/arxiv",
"source": {
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