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Physical Review Letters

Deterministic All-Optical Continuous-Variable Quantum Telecloning

Yanbo Lou, Yinghui Lv, Jiabin Wang, Shengshuai Liu, Jietai Jing

Published Apr 18, 2024• 8 citations

Abstract

Quantum telecloning, a pivotal multiuser quantum communication protocol in the realm of quantum information science, facilitates the copy of a quantum state across M distinct locations through teleportation technique. In the continuous-variable regime, the implementation of quantum telecloning necessitates the distribution of multipartite entanglement among the sender and M receiver parties. Following this, the sender carries out optic-electro conversion and transmits information via classical channel to M spatially separated receivers simultaneously. To successfully reconstruct the input state, electro-optic conversion needs to be employed by each receiver. However, due to these conversions, the bandwidth of the optical mode in this process is largely constrained. In this Letter, we present an all-optical version of the 1→2 continuous-variable quantum telecloning scheme, wherein both optic-electro and electro-optic conversions are replaced by optical components. Our scheme allows the two receivers to achieve input state reconstruction solely by utilizing beam splitters, significantly simplifying its complexity. We experimentally demonstrate all-optical 1→2 quantum telecloning of coherent state and achieve the fidelities of 58.6%±1.0% and 58.6%±1.1% for two clones, exceeding the corresponding classical limits (51.9%±0.5% and 51.9%±0.6%). Our results establish a platform for constructing a flexible all-optical multiuser quantum network and promote the field of all-optical quantum information processing.

DOI: 10.1103/physrevlett.132.160803

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Quantum telecloning, a pivotal multiuser quantum communication protocol in the realm of quantum information science, facilitates the copy of a quantum state across M distinct locations through teleportation technique. In the continuous-variable regime, the implementation of quantum telecloning necessitates the distribution of multipartite entanglement among the sender and M receiver parties. Following this, the sender carries out optic-electro conversion and transmits information via classical channel to M spatially separated receivers simultaneously. To successfully reconstruct the input state, electro-optic conversion needs to be employed by each receiver. However, due to these conversions, the bandwidth of the optical mode in this process is largely constrained. In this Letter, we present an all-optical version of the 1→2 continuous-variable quantum telecloning scheme, wherein both optic-electro and electro-optic conversions are replaced by optical components. Our scheme allows the two receivers to achieve input state reconstruction solely by utilizing beam splitters, significantly simplifying its complexity. We experimentally demonstrate all-optical 1→2 quantum telecloning of coherent state and achieve the fidelities of 58.6%±1.0% and 58.6%±1.1% for two clones, exceeding the corresponding classical limits (51.9%±0.5% and 51.9%±0.6%). Our results establish a platform for constructing a flexible all-optical multiuser quantum network and promote the field of all-optical quantum information processing.

Quantum state sharing, an important protocol in quantum information, can enable secure state distribution and reconstruction when part of the information is lost. In (k, n) threshold quantum state sharing, the secret state is encoded into n shares and then distributed to n players. The secret state can be reconstructed by any k players (k > n / 2), while the rest of the players get nothing. In the continuous variable regime, the implementation of quantum state sharing needs the feedforward technique, which involves optic-electro and electro-optic conversions. These conversions limit the bandwidth of the quantum state sharing. Here, to avoid the optic-electro and electro-optic conversions, we experimentally demonstrate (2, 3) threshold deterministic all-optical quantum state sharing. A low-noise phase-insensitive amplifier based on the four-wave mixing process is utilized to replace the feedforward technique. We experimentally demonstrate that any two of three players can cooperate to implement the reconstruction of the secret state, while the rest of the players cannot get any information. Our results provide an all-optical platform to implement arbitrary (k, n) threshold deterministic all-optical quantum state sharing and pave the way to construct the all-optical broadband quantum network.

We introduce and describe in detail a different quantum-information protocol: quantum telecloning of optical images or spatially multimode states of light. This protocol is a natural generalization of a continuous-variable quantum telecloning of single-mode states, investigated earlier theoretically and recently realized experimentally. Our protocol is an example of a multiuser parallel quantum channel. In order to realize this scheme one needs a multimode multipartite entanglement between the original and the target systems. We calculate the fidelity of quantum parallel telecloning in dependence on the spatiotemporal scales of our scheme and on the number of pixels. The fidelity is superior to the best classical fidelity that can be achieved without this kind of entanglement.

The distribution of the quantum states to remote receivers is an indispensable technology in quantum communication, quantum networks, and quantum information processing. Perfect distribution does not allow any quantum information loss of the distributed quantum state. Quantum telecloning, which is made up of quantum cloning and quantum teleportation, is a remote quantum information distribution protocol. Here, we experimentally demonstrate unconditional $1\ensuremath{\rightarrow}3$ quantum telecloning of coherent states, and the fidelities of the cloned states are $0.64\ifmmode\pm\else\textpm\fi{}0.01, 0.64\ifmmode\pm\else\textpm\fi{}0.01$, and $0.49\ifmmode\pm\else\textpm\fi{}0.01$, respectively. No information about the unknown state is lost during the telecloning process by exploiting the quadripartite entangled modes as an auxiliary resource. Deterministic $1\ensuremath{\rightarrow}3$ quantum telecloning has great potential for applications in advanced quantum technology.

We first classify the quantum clone into irreversible and reversible types from the perspective of quantum-information distribution. We propose a scheme of continuous-variable reversible telecloning, which broadcast the information of an unknown state without loss from a sender to several spatially separated receivers exploiting multipartite entanglement as quantum channels. In this scheme, the quantum information of an unknown state is distributed into

M

optimal clones and $M\ensuremath{-}1$ anticlones using

2M

-partite entanglement. For the perfect quantum-information distribution that is optimal cloning,

2M

-partite entanglement is required to be a maximum two-party entanglement.

We propose entangled (M+1)-mode quantum states as a multiuser quantum channel for continuous-variable communication. Arbitrary quantum states can be sent via this channel simultaneously to M remote and separated locations with equal minimum excess noise in each output mode. For a set of coherent-state inputs, the channel realizes optimal symmetric 1-->M cloning at a distance ("telecloning"). It also provides the optimal cloning of coherent states without the need of amplifying the state of interest. The generation of the multiuser quantum channel requires no more than two 10log10[(root square[M]-1)/(root square[M]+1)] dB squeezed states and M beam splitters.

We propose entangled (M+1)-mode quantum states as a multiuser quantum channel for continuous-variable communication. Arbitrary quantum states can be sent via this channel simultaneously to M remote and separated locations with equal minimum excess noise in each output mode. For a set of coherent-state inputs, the channel realizes optimum symmetric 1-to-M cloning at a distance (``telecloning''). It also provides the optimal cloning of coherent states without the need of amplifying the state of interest. The generation of the multiuser quantum channel requires no more than two 10\log_{10}[(\sqrt{M}-1)/(\sqrt{M}+1)] dB squeezed states and M beam splitters.