Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Classical and Quantum Gravity

Can quantum information be cloned in Kerr black holes?

Xian-Hui Ge, You-Gen Shen

Published Mar 16, 2004• 8 citations
Publisher

Abstract

The applications of the quantum non-cloning theorem to Kerr black holes are discussed. We find that whether the quantum non-cloning theorem is well established inside the inner horizon remains a question. Also the black hole complementarity principle and the quantum non-cloning theorem seem inconsistent inside the inner horizon.
DOI
10.1088/0264-9381/21/8/002

Related papers

Quantum Information Measurements for Garfinkle–Horne Dilaton Black Holes

Xian-Hui Ge, You-Gen Shen

The quantum non-cloning theorem is discussed for Garfinkle–Horne dilaton black holes. It is found that if the black hole complementarity principle is correct, then it will be questioned whether the quantum non-cloning theorem is well established inside the inner horizon. It is also found that another complementarity principle may be needed inside the inner horizon of the Garfinkle–Horne dilaton black hole.

Chinese Physics Letters•Jul 30, 2004•10 citations

Quantum Information Measurements for Garfinkle-Horne Dilaton Black Holes

Xian-hui Ge A, You-Gen Shen

The quantum non-cloning theorem is discussed for Garfinkle-Horne dilaton black holes. It is found that if the black hole complementarity principle is correct, then it will be questioned whether the quantum non-cloning theorem is well established inside the inner horizon. It is also found that another complementarity principle may be needed inside the inner horizon of the Garfinkle-Horne dilaton black hole.

Chinese Physics Letters•Jan 1, 2004•0 citations

RELATING QUANTUM INFORMATION TO CHARGED BLACK HOLES

Xian-Hui Ge, You-Gen Shen

Quantum non-cloning theorem and a thought experiment are discussed for charged black holes whose global structure exhibits an event and a Cauchy horizon. We take Reissner–Norström black holes and two-dimensional dilaton black holes as concrete examples. The results show that the quantum non-cloning theorem and the black hole complementarity are far from consistent inside the inner horizon. The relevance of this work to non-local measurements is briefly discussed.

arXiv:gr-qc/0503094•International Journal of Modern Physics D•Aug 1, 2005•5 citations

The capacity of black holes to transmit quantum information

Kamil Brádler, Christoph Adami

We study the properties of the quantum information transmission channel that emerges from the quantum dynamics of particles interacting with a black hole horizon. We calculate the quantum channel capacity in two limiting cases where a single-letter capacity is known to exist: the limit of perfectly reflecting and perfectly absorbing black holes. We find that the perfectly reflecting black hole channel is closely related to the Unruh channel and that its capacity is non-vanishing, allowing for the perfect reconstruction of quantum information outside of the black hole horizon. We also find that the complementary channel (transmitting entanglement behind the horizon) is entanglement-breaking in this case, with vanishing capacity. We then calculate the quantum capacity of the black hole channel in the limit of a perfectly absorbing black hole and find that this capacity vanishes, while the capacity of the complementary channel is non-vanishing instead. Rather than inviting a new crisis for quantum physics, this finding instead is in accordance with the quantum no-cloning theorem, because it guarantees that there are no space-like surfaces that contain both the sender’s quantum state and the receiver’s reconstructed quantum state.

arXiv:1310.7914•Journal of High Energy Physics•May 1, 2014•24 citations

THE CAPACITY OF BLACK HOLES TO TRANSMIT QUANTUM INFORMATION

Bradler, Kamil, Christoph Adami

We study the properties of the quantum information transmission channel that emerges from the quantum dynamics of particles interacting with a black hole horizon. We calculate the quantum channel capacity in two limiting cases where a single-letter capacity is known to exist: the limit of perfectly reflecting and perfectly absorbing black holes. We find that the perfectly reflecting black hole channel is closely related to the Unruh channel and that its capacity is non-vanishing, allowing for the perfect reconstruction of quantum information outside of the black hole horizon. We also find that the complementary channel (transmitting entanglement behind the horizon) is entanglement-breaking in this case, with vanishing capacity. We then calculate the quantum capacity of the black hole channel in the limit of a perfectly absorbing black hole and find that this capacity vanishes, while the capacity of the complementary channel is non-vanishing instead. Rather than inviting a new crisis for quantum physics, this finding instead is in accordance with the quantum no-cloning theorem, because it guarantees that there are no space-like surfaces that contain both the sender's quantum state and the receiver's reconstructed quantum state.

•May 21, 2014•18 citations

Black holes are almost optimal quantum cloners

Christoph Adami, Greg Ver Steeg

If black holes were able to clone quantum states, a number of paradoxes in black hole physics would disappear.However, the linearity of quantum mechanics forbids exact cloning of quantum states.Here we show that black holes indeed clone incoming quantum states with a fidelity that depends on the black hole's absorption coefficient, without violating the no-cloning theorem because the clones are only approximate.Perfectly reflecting black holes are optimal universal 'quantum cloning machines' and operate on the principle of stimulated emission, exactly as their quantum optical counterparts.In the limit of perfect absorption, the fidelity of clones is only equal to what can be obtained via quantum state estimation methods.But for any absorption probability less than one, the cloning fidelity is nearly optimal as long as ω ⩾ T 10, a common parameter for modest-sized black holes.

arXiv:quant-ph/0601065•Journal of Physics A Mathematical and Theoretical•May 19, 2015•16 citations
We study the properties of the quantum information transmission channel that emerges from the quantum dynamics of particles interacting with a black hole horizon. We calculate the quantum channel capacity in two limiting cases where a single-letter capacity is known to exist: the limit of perfectly reflecting and perfectly absorbing black holes. We find that the perfectly reflecting black hole channel is closely related to the Unruh channel and that its capacity is non-vanishing, allowing for the perfect reconstruction of quantum information outside of the black hole horizon. We also find that the complementary channel (transmitting entanglement behind the horizon) is entanglement-breaking in this case, with vanishing capacity. We then calculate the quantum capacity of the black hole channel in the limit of a perfectly absorbing black hole and find that this capacity vanishes, while the capacity of the complementary channel is non-vanishing instead. Rather than inviting a new crisis for quantum physics, this finding instead is in accordance with the quantum no-cloning theorem, because it guarantees that there are no space-like surfaces that contain both the sender’s quantum state and the receiver’s reconstructed quantum state.
We study the properties of the quantum information transmission channel that emerges from the quantum dynamics of particles interacting with a black hole horizon. We calculate the quantum channel capacity in two limiting cases where a single-letter capacity is known to exist: the limit of perfectly reflecting and perfectly absorbing black holes. We find that the perfectly reflecting black hole channel is closely related to the Unruh channel and that its capacity is non-vanishing, allowing for the perfect reconstruction of quantum information outside of the black hole horizon. We also find that the complementary channel (transmitting entanglement behind the horizon) is entanglement-breaking in this case, with vanishing capacity. We then calculate the quantum capacity of the black hole channel in the limit of a perfectly absorbing black hole and find that this capacity vanishes, while the capacity of the complementary channel is non-vanishing instead. Rather than inviting a new crisis for quantum physics, this finding instead is in accordance with the quantum no-cloning theorem, because it guarantees that there are no space-like surfaces that contain both the sender's quantum state and the receiver's reconstructed quantum state.
If black holes were able to clone quantum states, a number of paradoxes in black hole physics would disappear.However, the linearity of quantum mechanics forbids exact cloning of quantum states.Here we show that black holes indeed clone incoming quantum states with a fidelity that depends on the black hole's absorption coefficient, without violating the no-cloning theorem because the clones are only approximate.Perfectly reflecting black holes are optimal universal 'quantum cloning machines' and operate on the principle of stimulated emission, exactly as their quantum optical counterparts.In the limit of perfect absorption, the fidelity of clones is only equal to what can be obtained via quantum state estimation methods.But for any absorption probability less than one, the cloning fidelity is nearly optimal as long as ω ⩾ T 10, a common parameter for modest-sized black holes.