Tight Reference Frame-Independent Quantum Teleportation

@inproceedings{Verdon2016TightRF,
  title={Tight Reference Frame-Independent Quantum Teleportation},
  author={Dominic Verdon and Jamie Vicary},
  booktitle={QPL},
  year={2016}
}
We give a tight scheme for teleporting a quantum state between two parties whose reference frames are misaligned by an action of a finite symmetry group. Unlike previously proposed schemes, ours requires no additional tokens or data to be passed between the participants; the same amount of classical information is transferred as for ordinary quantum teleportation, and the Hilbert space of the entangled resource is of the same size. In the terminology of Peres and Scudo, our protocol relies on… 
View PDF on arXiv
7 Citations
Methods Citations
5
Results Citations
1

7 Citations

Tight quantum teleportation without a shared reference frame

This work presents a new scheme for teleporting a quantum state between two parties whose local reference frames are misaligned by the action of a finite symmetry group and completely classify instances of the scheme for qubits, exhibit concrete constructions in higher dimension, and provide a method for proving nonexistence in some cases.

Quantum teleportation with infinite reference-frame uncertainty

Two new schemes for quantum teleportation between parties whose reference frames are misaligned by the action of a compact Lie group are presented, one of which performs perfect teleportation with no additional entangled resource requirements and is robust against changes in reference frame alignment during execution.

Algebraic quantum structures for reference frame-independent quantum teleportation and pseudo-telepathy

This work presents two new schemes for teleportation of a quantum state between parties whose local reference frames are misaligned by the action of a compact Lie group G, and calls a pair of graphs for which a perfect strategy using shared entanglement exists pseudo-telepathic, and call a quantum strategy a quantum isomorphism between the graphs.

Categorical quantum dynamics

It is argued that strong complementarity is a truly powerful and versatile building block for quantum theory and its applications, and one that should draw a lot more attention in the future.

Towards Quantum Field Theory in Categorical Quantum Mechanics

In this work, we use tools from non-standard analysis to introduce infinite-dimensional quantum systems and quantum fields within the framework of Categorical Quantum Mechanics. We define a dagger…

Categorical Operational Physics

This thesis gives a recipe for recovering a class of generalised quantum theories, before instantiating it with operational principles inspired by an earlier reconstruction due to CDP, and reconstructs finite-dimensional quantum theory itself.

2 Reference frame – independent teleportation 2 . 1 Example Scenario

This work presents a new scheme for teleporting a quantum state between two parties whose local reference frames are misaligned by the action of a finite symmetry group, and completely classify such unitary error bases for qubits, exhibit constructions in higher dimension, and provide a method for proving nonexistence in some cases.

19 References

Teleportation transfers only speakable quantum information

It is shown that entanglement can be used to achieve synchronization with precision higher than any classical correlation allows, and the optimized strategy for this task is given.

The physical meaning of phase and its importance for quantum teleportation

Abstract We argue that the two parties in any quantum teleportation protocol need to share more resources than just an entangled state and a classical communication channel. As the phase between…

All teleportation and dense coding schemes

We establish a one-to-one correspondence between (1) quantum teleportation schemes, (2) dense coding schemes, (3) orthonormal bases of maximally entangled vectors, (4) orthonormal bases of unitary…

Quantum teleportation with identical particles

We study teleportation with identical massive particles. Indistinguishability imposes that the relevant degrees of freedom to be teleported are not particles, but rather addressable orthogonal modes.…

Unspeakable quantum information

No verbal explanation can indicate a direction in space or the orientation of a coordinate system. Only material objects can do it. In this article we consider the use of a set of spin-\half…

Reference frames, superselection rules, and quantum information

This paper reviews the role of reference framesmore and superselection rules in the theory of quantum-information processing and finds that quantum unspeakable information becomes a new kind of resource that can be manipulated, depleted, quantified, etc.

Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels.

An unknown quantum state \ensuremath{\Vert}\ensuremath{\varphi}〉 can be disassembled into, then later reconstructed from, purely classical information and purely nonclassical Einstein-Podolsky-Rosen…

Demonstrating the viability of universal quantum computation using teleportation and single-qubit operations

It is shown that single quantum bit operations, Bell-basis measurements and certain entangled quantum states such as Greenberger–Horne–Zeilinger (GHZ) states are sufficient to construct a universal quantum computer.

Categorical quantum mechanics

Non-binary unitary error bases and quantum codes

Error operator bases for systems of any dimension are defined and natural generalizations of the bit-flip/ sign-change error basis for qubits are given. These bases allow generalizing the…