Improving transmon qudit measurement on IBM Quantum hardware
The Hilbert space of a physical qubit typically features more than two energy levels. Using states outside the qubit subspace can provide advantages in quantum computation. To benefit from these advantages, individual states of the d-dimensional qudit Hilbert space have to be discriminated during re...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
American Physical Society
2024-01-01
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| Series: | Physical Review Research |
| Online Access: | http://doi.org/10.1103/PhysRevResearch.6.013050 |
| _version_ | 1797210326692790272 |
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| author | Tobias Kehrer Tobias Nadolny Christoph Bruder |
| author_facet | Tobias Kehrer Tobias Nadolny Christoph Bruder |
| author_sort | Tobias Kehrer |
| collection | DOAJ |
| description | The Hilbert space of a physical qubit typically features more than two energy levels. Using states outside the qubit subspace can provide advantages in quantum computation. To benefit from these advantages, individual states of the d-dimensional qudit Hilbert space have to be discriminated during readout. We propose and analyze two measurement strategies that improve the distinguishability of transmon qudit states. Based on a model describing the readout of a transmon qudit coupled to a resonator, we identify the regime in hardware parameter space where each strategy is optimal. We discuss these strategies in the context of a practical implementation of the default measurement of a ququart on IBM Quantum hardware whose states are prepared by employing higher-order X gates that make use of two-photon transitions. |
| first_indexed | 2024-04-24T10:08:49Z |
| format | Article |
| id | doaj.art-a35545a8c52d403185082688afb7d2b4 |
| institution | Directory Open Access Journal |
| issn | 2643-1564 |
| language | English |
| last_indexed | 2024-04-24T10:08:49Z |
| publishDate | 2024-01-01 |
| publisher | American Physical Society |
| record_format | Article |
| series | Physical Review Research |
| spelling | doaj.art-a35545a8c52d403185082688afb7d2b42024-04-12T17:37:57ZengAmerican Physical SocietyPhysical Review Research2643-15642024-01-016101305010.1103/PhysRevResearch.6.013050Improving transmon qudit measurement on IBM Quantum hardwareTobias KehrerTobias NadolnyChristoph BruderThe Hilbert space of a physical qubit typically features more than two energy levels. Using states outside the qubit subspace can provide advantages in quantum computation. To benefit from these advantages, individual states of the d-dimensional qudit Hilbert space have to be discriminated during readout. We propose and analyze two measurement strategies that improve the distinguishability of transmon qudit states. Based on a model describing the readout of a transmon qudit coupled to a resonator, we identify the regime in hardware parameter space where each strategy is optimal. We discuss these strategies in the context of a practical implementation of the default measurement of a ququart on IBM Quantum hardware whose states are prepared by employing higher-order X gates that make use of two-photon transitions.http://doi.org/10.1103/PhysRevResearch.6.013050 |
| spellingShingle | Tobias Kehrer Tobias Nadolny Christoph Bruder Improving transmon qudit measurement on IBM Quantum hardware Physical Review Research |
| title | Improving transmon qudit measurement on IBM Quantum hardware |
| title_full | Improving transmon qudit measurement on IBM Quantum hardware |
| title_fullStr | Improving transmon qudit measurement on IBM Quantum hardware |
| title_full_unstemmed | Improving transmon qudit measurement on IBM Quantum hardware |
| title_short | Improving transmon qudit measurement on IBM Quantum hardware |
| title_sort | improving transmon qudit measurement on ibm quantum hardware |
| url | http://doi.org/10.1103/PhysRevResearch.6.013050 |
| work_keys_str_mv | AT tobiaskehrer improvingtransmonquditmeasurementonibmquantumhardware AT tobiasnadolny improvingtransmonquditmeasurementonibmquantumhardware AT christophbruder improvingtransmonquditmeasurementonibmquantumhardware |