Probing Quantum Telecloning on Superconducting Quantum Processors
Quantum information cannot be perfectly cloned, but approximate copies of quantum information can be generated. Quantum telecloning combines approximate quantum cloning, more typically referred to as quantum cloning, and quantum teleportation. Quantum telecloning allows approximate copies of quantum...
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IEEE
2024-01-01
|
| Series: | IEEE Transactions on Quantum Engineering |
| Subjects: | |
| Online Access: | https://ieeexplore.ieee.org/document/10505824/ |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832583977736601600 |
|---|---|
| author | Elijah Pelofske Andreas Bartschi Stephan Eidenbenz Bryan Garcia Boris Kiefer |
| author_facet | Elijah Pelofske Andreas Bartschi Stephan Eidenbenz Bryan Garcia Boris Kiefer |
| author_sort | Elijah Pelofske |
| collection | DOAJ |
| description | Quantum information cannot be perfectly cloned, but approximate copies of quantum information can be generated. Quantum telecloning combines approximate quantum cloning, more typically referred to as quantum cloning, and quantum teleportation. Quantum telecloning allows approximate copies of quantum information to be constructed by separate parties, using the classical results of a Bell measurement made on a prepared quantum telecloning state. Quantum telecloning can be implemented as a circuit on quantum computers using a classical coprocessor to compute classical feedforward instructions using if statements based on the results of a midcircuit Bell measurement in real time. We present universal symmetric optimal <inline-formula><tex-math notation="LaTeX">$1 \rightarrow M$</tex-math></inline-formula> telecloning circuits and experimentally demonstrate these quantum telecloning circuits for <inline-formula><tex-math notation="LaTeX">$M=2$</tex-math></inline-formula> up to <inline-formula><tex-math notation="LaTeX">$M=10$</tex-math></inline-formula>, natively executed with real-time classical control systems on IBM Quantum superconducting processors, known as dynamic circuits. We perform the cloning procedure on many different message states across the Bloch sphere, on seven IBM Quantum processors, optionally using the error suppression technique X–X sequence digital dynamical decoupling. Two circuit optimizations are utilized: one that removes ancilla qubits for <inline-formula><tex-math notation="LaTeX">$M=2, 3$</tex-math></inline-formula>, and one that reduces the total number of gates in the circuit but still uses ancilla qubits. Parallel single-qubit tomography with maximum likelihood estimation density matrix reconstruction is used in order to compute the mixed-state density matrices of the clone qubits, and clone quality is measured using quantum fidelity. These results present one of the largest and most comprehensive noisy intermediate-scale quantum computer experimental analyses on (single qubit) quantum telecloning to date. The clone fidelity sharply decreases to 0.5 for <inline-formula><tex-math notation="LaTeX">$M > 5$</tex-math></inline-formula>, but for <inline-formula><tex-math notation="LaTeX">$M=2$</tex-math></inline-formula>, we are able to achieve a mean clone fidelity of up to 0.79 using dynamical decoupling. |
| format | Article |
| id | doaj-art-5cb68a51b6ad4eda99fd783b5befa0b8 |
| institution | Kabale University |
| issn | 2689-1808 |
| language | English |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Transactions on Quantum Engineering |
| spelling | doaj-art-5cb68a51b6ad4eda99fd783b5befa0b82025-01-28T00:02:26ZengIEEEIEEE Transactions on Quantum Engineering2689-18082024-01-01511910.1109/TQE.2024.339165410505824Probing Quantum Telecloning on Superconducting Quantum ProcessorsElijah Pelofske0https://orcid.org/0000-0003-2673-796XAndreas Bartschi1https://orcid.org/0000-0002-9049-0984Stephan Eidenbenz2https://orcid.org/0000-0002-2628-1854Bryan Garcia3Boris Kiefer4https://orcid.org/0000-0003-0242-3165CCS-3 Information Sciences, Los Alamos National Laboratory, Los Alamos, NM, USACCS-3 Information Sciences, Los Alamos National Laboratory, Los Alamos, NM, USACCS-3 Information Sciences, Los Alamos National Laboratory, Los Alamos, NM, USADepartment of Physics, New Mexico State University, Las Cruces, NM, USADepartment of Physics, New Mexico State University, Las Cruces, NM, USAQuantum information cannot be perfectly cloned, but approximate copies of quantum information can be generated. Quantum telecloning combines approximate quantum cloning, more typically referred to as quantum cloning, and quantum teleportation. Quantum telecloning allows approximate copies of quantum information to be constructed by separate parties, using the classical results of a Bell measurement made on a prepared quantum telecloning state. Quantum telecloning can be implemented as a circuit on quantum computers using a classical coprocessor to compute classical feedforward instructions using if statements based on the results of a midcircuit Bell measurement in real time. We present universal symmetric optimal <inline-formula><tex-math notation="LaTeX">$1 \rightarrow M$</tex-math></inline-formula> telecloning circuits and experimentally demonstrate these quantum telecloning circuits for <inline-formula><tex-math notation="LaTeX">$M=2$</tex-math></inline-formula> up to <inline-formula><tex-math notation="LaTeX">$M=10$</tex-math></inline-formula>, natively executed with real-time classical control systems on IBM Quantum superconducting processors, known as dynamic circuits. We perform the cloning procedure on many different message states across the Bloch sphere, on seven IBM Quantum processors, optionally using the error suppression technique X–X sequence digital dynamical decoupling. Two circuit optimizations are utilized: one that removes ancilla qubits for <inline-formula><tex-math notation="LaTeX">$M=2, 3$</tex-math></inline-formula>, and one that reduces the total number of gates in the circuit but still uses ancilla qubits. Parallel single-qubit tomography with maximum likelihood estimation density matrix reconstruction is used in order to compute the mixed-state density matrices of the clone qubits, and clone quality is measured using quantum fidelity. These results present one of the largest and most comprehensive noisy intermediate-scale quantum computer experimental analyses on (single qubit) quantum telecloning to date. The clone fidelity sharply decreases to 0.5 for <inline-formula><tex-math notation="LaTeX">$M > 5$</tex-math></inline-formula>, but for <inline-formula><tex-math notation="LaTeX">$M=2$</tex-math></inline-formula>, we are able to achieve a mean clone fidelity of up to 0.79 using dynamical decoupling.https://ieeexplore.ieee.org/document/10505824/Dicke statesdynamic circuitsquantum circuit if statementsquantum circuitsquantum cloningquantum computing |
| spellingShingle | Elijah Pelofske Andreas Bartschi Stephan Eidenbenz Bryan Garcia Boris Kiefer Probing Quantum Telecloning on Superconducting Quantum Processors IEEE Transactions on Quantum Engineering Dicke states dynamic circuits quantum circuit if statements quantum circuits quantum cloning quantum computing |
| title | Probing Quantum Telecloning on Superconducting Quantum Processors |
| title_full | Probing Quantum Telecloning on Superconducting Quantum Processors |
| title_fullStr | Probing Quantum Telecloning on Superconducting Quantum Processors |
| title_full_unstemmed | Probing Quantum Telecloning on Superconducting Quantum Processors |
| title_short | Probing Quantum Telecloning on Superconducting Quantum Processors |
| title_sort | probing quantum telecloning on superconducting quantum processors |
| topic | Dicke states dynamic circuits quantum circuit if statements quantum circuits quantum cloning quantum computing |
| url | https://ieeexplore.ieee.org/document/10505824/ |
| work_keys_str_mv | AT elijahpelofske probingquantumtelecloningonsuperconductingquantumprocessors AT andreasbartschi probingquantumtelecloningonsuperconductingquantumprocessors AT stephaneidenbenz probingquantumtelecloningonsuperconductingquantumprocessors AT bryangarcia probingquantumtelecloningonsuperconductingquantumprocessors AT boriskiefer probingquantumtelecloningonsuperconductingquantumprocessors |