Revision History for: Anonymous Multiparty Entanglement Distribution
- 2025-06-24 at 21:31 by JuliaM
implements Anonymous Transmission
Introduction
This protocol is a subroutine that allows the anonymous distribution of a GHZ state between $m+1$ parties, starting from an $n$-party GHZ state. It is used in the protocol: Anonymous Conference Key Agreement using GHZ states
Outline
- The entanglement source generates and distributes sufficient GHZ states to all nodes in the network
- The GHZ states are distilled to establish multipartite entanglement shared only by the participating parties (the sender and receivers)
Assumptions
The ability to share a high-quality n-partite GHZ state
Requirements
Network stage: entanglement generation
Other requirement:
- A broadcast channel
- A private randomness source
Notation
- $n$: Total number of nodes in the network
- $m$: Number of receiving nodes
- $k$-partite GHZ state: $\\\frac{1}{\\\sqrt{2}} \\\left( |0\\\rangle^{\\\otimes k} + |1\\\rangle^{\\\otimes k} \\\right)$
Properties
Anonymity
Technical Description
Input: $n$-partite GHZ state $\\\frac{1}{\\\sqrt{2}}(|0\\\rangle^{\\\otimes n} + |1\\\rangle^{\\\otimes n})$
Output: $(m+1)$-partite GHZ state $\\\frac{1}{\\\sqrt{2}}(|0\\\rangle^{\\\otimes (m+1)} + |1\\\rangle^{\\\otimes (m+1)})$ shared between the sender and receivers
Requirements: A broadcast channel; private randomness sources- Sender and receiver draw a random bit each. Everyone else measures their qubits in the X-basis, yielding a measurement outcome bit $x_i$.
- All parties broadcast their bits in a random order, or if possible, simultaneously.
- The sender applies a Z gate to their qubit if the parity of the non-participating parties’ bits is odd.
Experimental Implementations
No content has been added to this section, yet!
Further Information
No content has been added to this section, yet!
References
- Hahn, Frederik, Jarn de Jong, and Anna Pappa. “Anonymous quantum conference key agreement.” PRX Quantum 1, no. 2 (2020): 020325.
- Mannalath, Vaisakh, and Anirban Pathak. “Multiparty entanglement routing in quantum networks.” Physical Review A 108, no. 6 (2023): 062614.
- 2025-05-21 at 15:16 by JuliaM
implements Anonymous Transmission
Introduction
This protocol is a subroutine that allows the anonymous distribution of a GHZ state between $m+1$ parties, starting from an $n$-party GHZ state. It is used in the protocol: Anonymous Conference Key Agreement using GHZ states
Outline
- The entanglement source generates and distributes sufficient GHZ states to all nodes in the network
- The GHZ states are distilled to establish multipartite entanglement shared only by the participating parties (the sender and receivers)
Assumptions
The ability to share a high-quality n-partite GHZ state
Requirements
Network stage: entanglement generation
Other requirement:
- A broadcast channel
- A private randomness source
Notation
- $n$: Total number of nodes in the network
- $m$: Number of receiving nodes
- $k$-partite GHZ state: $\\\frac{1}{\\\sqrt{2}} \\\left( |0\\\rangle^{\\\otimes k} + |1\\\rangle^{\\\otimes k} \\\right)$
Properties
Anonymity
Technical Description
Input: $n$-partite GHZ state $\\\frac{1}{\\\sqrt{2}}(|0\\\rangle^{\\\otimes n} + |1\\\rangle^{\\\otimes n})$
Output: $(m+1)$-partite GHZ state $\\\frac{1}{\\\sqrt{2}}(|0\\\rangle^{\\\otimes (m+1)} + |1\\\rangle^{\\\otimes (m+1)})$ shared between the sender and receivers
Requirements: A broadcast channel; private randomness sources- Sender and receiver draw a random bit each. Everyone else measures their qubits in the X-basis, yielding a measurement outcome bit $x_i$.
- All parties broadcast their bits in a random order, or if possible, simultaneously.
- The sender applies a Z gate to their qubit if the parity of the non-participating parties’ bits is odd.
Experimental Implementations
No content has been added to this section, yet!
Further Information
No content has been added to this section, yet!
References
- Hahn, Frederik, Jarn de Jong, and Anna Pappa. “Anonymous quantum conference key agreement.” PRX Quantum 1, no. 2 (2020): 020325.
- Mannalath, Vaisakh, and Anirban Pathak. “Multiparty entanglement routing in quantum networks.” Physical Review A 108, no. 6 (2023): 062614.
- 2025-05-16 at 11:32 by Mina Doosti
implements Anonymous Transmission
Introduction
This protocol is a subroutine that allows the anonymous distribution of a GHZ state between $m+1$ parties, starting from an $n$-party GHZ state. It is used in the protocol: Anonymous Conference Key Agreement using GHZ states
Outline
- The entanglement source generates and distributes sufficient GHZ states to all nodes in the network
- The GHZ states are distilled to establish multipartite entanglement shared only by the participating parties (the sender and receivers)
Assumptions
The ability to share a high-quality n-partite GHZ state
Requirements
Network stage: entanglement generation
Other requirement:
- A broadcast channel
- A private randomness source
Notation
- $n$: Total number of nodes in the network
- $m$: Number of receiving nodes
- $k$-partite GHZ state: $frac{1}{sqrt{2}} left( |0rangle^{otimes k} + |1rangle^{otimes k} right)$
Properties
Anonymity
Technical Description
Input: $n$-partite GHZ state $frac{1}{sqrt{2}}(|0rangle^{otimes n} + |1rangle^{otimes n})$
Output: $(m+1)$-partite GHZ state $frac{1}{sqrt{2}}(|0rangle^{otimes (m+1)} + |1rangle^{otimes (m+1)})$ shared between the sender and receivers
Requirements: A broadcast channel; private randomness sources- Sender and receiver draw a random bit each. Everyone else measures their qubits in the X-basis, yielding a measurement outcome bit $x_i$.
- All parties broadcast their bits in a random order, or if possible, simultaneously.
- The sender applies a Z gate to their qubit if the parity of the non-participating parties’ bits is odd.
Experimental Implementations
No content has been added to this section, yet!
Further Information
No content has been added to this section, yet!