Quantum Telecloning on NISQ Computers
arXiv:2205.00125 · doi:10.1109/QCE53715.2022.00083
Abstract
Due to the no-cloning theorem, generating perfect quantum clones of an arbitrary unknown quantum state is not possible, however approximate quantum clones can be constructed. Quantum telecloning is a protocol that originates from a combination of quantum teleportation and quantum cloning. Here we present and quantum telecloning circuits, with and without ancilla, that are theoretically optimal (meaning the clones have the highest fidelity allowed by quantum mechanics), universal (meaning the clone fidelity is independent of the state being cloned), and symmetric (meaning the clones all have the same fidelity). We implement these circuits on gate model IBMQ and Quantinuum NISQ hardware and quantify the clone fidelities using parallel single qubit state tomography. Quantum telecloning using mid-circuit measurement with classical feed-forward control (i.e. real time if statements) is demonstrated on the Quantinuum H1-2 device. Two alternative implementations of quantum telecloning, deferred measurement and post selection, are demonstrated on ibmq\_montreal, where mid-circuit measurements with real time if statements are not available. Our results show that NISQ devices can achieve near-optimal quantum telecloning fidelity; for example the Quantinuum H1-2 device running the telecloning circuits without ancilla achieved a mean clone fidelity of with standard deviation of for two clone circuits and with standard deviation of for three clone circuits. The theoretical fidelity limits are for two clones and for three clones. This demonstrates the viability of performing experimental analysis of quantum information networks and quantum cryptography protocols on NISQ computers.
References in corpus (46)
- Quantum cryptography: Public key distribution and coin tossing
- Quantum computation over continuous variables
- Quantum Copying: Beyond the No-Cloning Theorem
- Advances in Quantum Teleportation
- Optimal Quantum Cloning Machines
- Quantum cloning
- Quantum telecloning and multiparticle entanglement
- Demonstration of the trapped-ion quantum-CCD computer architecture
- Optimal Universal and State-Dependent Quantum Cloning
- Optimal Cloning of Pure States
- Probabilistic cloning and identification of linearly independent quantum states
- Maximum Likelihood, Minimum Effort
- Bell inequality, Bell states and maximally entangled states for n qubits
- Quantum cloning and the capacity of the Pauli channel
- Universal cloning of continuous quantum variables
- Quantum copying: A network
- Qiskit Pulse: Programming Quantum Computers Through the Cloud with Pulses
- Quantum Overlapping Tomography
- Multiparticle entanglement under the influence of decoherence
- The maximally entangled symmetric state in terms of the geometric measure
- Characterization of a two-transmon processor with individual single-shot qubit readout
- Quantum cloning machines for equatorial qubits
- Quantum Cloning Machines and the Applications
- Deterministic Preparation of Dicke States
- Remote information concentration using a bound entangled state
- Quantum information distributors: Quantum network for symmetric and asymmetric cloning in arbitrary dimension and continuous limit
- Experimental realization of optimal asymmetric cloning and telecloning via partial teleportation
- Quantum information distribution via entanglement
- Optimal Copying of One Quantum Bit
- Quantum superposition of multiple clones and the novel cloning machine
- Asymmetric quantum telecloning of d-level systems and broadcasting of entanglement to different locations using the "many-to-many" communication protocol
- Cloning and quantum computation
- Multipartite Asymmetric Quantum Cloning
- Experimental Eavesdropping Based on Optimal Quantum Cloning
- Experimental Quantum Networking Protocols via Four-Qubit Hyperentangled Dicke States
- A Divide-and-Conquer Approach to Dicke State Preparation
- Separating the classical and quantum information via quantum cloning
- Short-Depth Circuits for Dicke State Preparation
- Continuous-Variable Telecloning with Phase-Conjugate Inputs
- Generalized Quantum Telecloning
- Entanglement in highly symmetric multipartite quantum states
- Experimental demonstration of entanglement-enabled universal quantum cloning in a circuit
- A quantum cloning bound and application to quantum key distribution
- General error mitigation for quantum circuits
- Optimal ancilla-free phase-covariant telecloning of qudits via nonmaximally entangled states
- Telecloning of qudits via partially entangled states