Readable Depth Without the Calibration Map: Formula Placement on Heavy-Hex Devices, and a Defect the Calibration Does Not Show

Compilers for today's quantum processors choose a layout by reading the day's calibration. We ask how deep a circuit stays readable when no placement reads a quality number. We place a ring of CZ gates on IBM's heavy-hex devices in three ways that see only the coupling graph, the basis and which elements have failed: a formula that puts the ring on a lattice cycle (the rule), the ring folded onto the same qubits (zipper), and Qiskit's level-2 search without error rates (blind Qiskit). The workload is the kicked Ising ring at J = pi/4; the probes are a weight-2 charge conserved by the circuit, a mirror echo with a longitudinal field that breaks integrability, and the global parity. In declared tests on ibm_marrakesh and ibm_kingston (29-30 October 2026), the rule kept more of the charge than both other placements in all 24 comparisons (readable depth 56-90 steps against 15-26), and in the non-integrable echo it won 71, tied 11 and lost none of 144 comparisons, at sizes up to n = 72. Several declared predictions failed, and we report them with the results. On ibm_kingston the rule's n = 40 ring carried a run of 18 sites whose echo was near random or inverted: the same 18 sites in three runs of the byte-identical circuit over three hours, while the calibration showed nothing there and the same qubits were healthy on the n = 20 ring. Gate twirling, which leaves the ideal circuit unchanged, turned the inverted part random, so the cause is on the device, not in the circuit; a light-cone argument bounds how far one fault reaches. These sites set the readable depth at n >= 40 and erased the parity at n = 40. A map read from the calibration could not have avoided them. All declarations, records and raw counts are public in TOQB.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-31
DOI
https://doi.org/10.5281/zenodo.23826350
Primary Topic
Quantum Computing Algorithms and Architecture
Type
preprint
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preprint

Readable Depth Without the Calibration Map: Formula Placement on Heavy-Hex Devices, and a Defect the Calibration Does Not Show

TN.Holdings
1 links
Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
preprint

Readable Depth Without the Calibration Map: Formula Placement on Heavy-Hex Devices, and a Defect the Calibration Does Not Show

TN.Holdings
preprint en

Abstract

Compilers for today's quantum processors choose a layout by reading the day's calibration. We ask how deep a circuit stays readable when no placement reads a quality number. We place a ring of CZ gates on IBM's heavy-hex devices in three ways that see only the coupling graph, the basis and which elements have failed: a formula that puts the ring on a lattice cycle (the rule), the ring folded onto the same qubits (zipper), and Qiskit's level-2 search without error rates (blind Qiskit). The workload is the kicked Ising ring at J = pi/4; the probes are a weight-2 charge conserved by the circuit, a mirror echo with a longitudinal field that breaks integrability, and the global parity. In declared tests on ibm_marrakesh and ibm_kingston (29-30 October 2026), the rule kept more of the charge than both other placements in all 24 comparisons (readable depth 56-90 steps against 15-26), and in the non-integrable echo it won 71, tied 11 and lost none of 144 comparisons, at sizes up to n = 72. Several declared predictions failed, and we report them with the results. On ibm_kingston the rule's n = 40 ring carried a run of 18 sites whose echo was near random or inverted: the same 18 sites in three runs of the byte-identical circuit over three hours, while the calibration showed nothing there and the same qubits were healthy on the n = 20 ring. Gate twirling, which leaves the ideal circuit unchanged, turned the inverted part random, so the cause is on the device, not in the circuit; a light-cone argument bounds how far one fault reaches. These sites set the readable depth at n >= 40 and erased the parity at n = 40. A map read from the calibration could not have avoided them. All declarations, records and raw counts are public in TOQB.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Computing Algorithms and Architecture
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Readable Depth Without the Calibration Map: Formula Placement on Heavy-Hex Devices, and a Defect the Calibration Does Not Show — TN.Holdings · Zenodo (CERN European Organization for Nuclear Research) (2026) | TGRS Research Map | TGRS