| Download | - View accepted manuscript: Streaming quantum state purification (PDF, 1.2 MiB)
|
|---|
| DOI | Resolve DOI: https://doi.org/10.22331/q-2025-01-21-1603 |
|---|
| Author | Search for: Childs, Andrew M.; Search for: Fu, Honghao; Search for: Leung, Debbie; Search for: Li, Zhi1; Search for: Ozols, Maris; Search for: Vyas, Vedang |
|---|
| Affiliation | - National Research Council of Canada. Digital Technologies
|
|---|
| Format | Text, Article |
|---|
| Abstract | Quantum state purification is the task of recovering a nearly pure copy of an unknown pure quantum state using multiple noisy copies of the state. This basic task has applications to quantum communication over noisy channels and quantum computation with imperfect devices, but has only been studied previously for the case of qubits. We derive an efficient purification procedure based on the swap test for qudits of any dimension, starting with any initial error parameter. Treating the initial error parameter and the dimension as constants, we show that our procedure has sample complexity asymptotically optimal in the final error parameter. Our protocol has a simple recursive structure that can be applied when the states are provided one at a time in a streaming fashion, requiring only a small quantum memory to implement. |
|---|
| Publication date | 2025-01-21 |
|---|
| Publisher | Verein zur Forderung des Open Access Publizierens in den Quantenwissenschaften |
|---|
| Licence | |
|---|
| In | |
|---|
| Language | English |
|---|
| Peer reviewed | Yes |
|---|
| Export citation | Export as RIS |
|---|
| Report a correction | Report a correction (opens in a new tab) |
|---|
| Record identifier | 60f75eb9-d332-4b90-abd7-a1cdce4988ec |
|---|
| Record created | 2025-04-14 |
|---|
| Record modified | 2025-04-15 |
|---|
