Related Experiment Video
Updated: May 27, 2026
10:09
Operation of the Collaborative Composite Manufacturing (CCM) System
Published on: October 1, 2019
Entanglement cost of implementing controlled-unitary operations
Akihito Soeda1, Peter S Turner, Mio Murao
1Graduate School of Science, The University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo, Japan.
Physical Review Letters
|November 24, 2011
Summary
We determined the minimum entanglement cost for quantum operations using local actions and classical communication. A three-turn protocol requires at least 1 ebit of entanglement, revealing a gap in controlled-unitary operations.
Area of Science:
- Quantum Information Science
- Quantum Computing
- Entanglement Theory
Background:
- Controlled-unitary operations are fundamental in quantum information processing.
- Local Operations and Classical Communication (LOCC) are key resources for distributed quantum tasks.
- Entanglement cost quantifies the entanglement needed for quantum information tasks.
Purpose of the Study:
- To determine the minimum entanglement cost for deterministic two-qubit controlled-unitary operations via LOCC.
- To analyze the relationship between entanglement cost and the entangling power of these operations.
- To understand the impact of input-oblivious operation implementation on entanglement requirements.
Main Methods:
- Investigated deterministic implementation of two-qubit controlled-unitary operations.
- Utilized Local Operations and Classical Communication (LOCC) protocols.
- Analyzed entanglement cost using bipartite entangled states with Schmidt number 2.
Main Results:
- Any two-qubit controlled-unitary operation can be implemented with a three-turn LOCC protocol.
- The minimum entanglement cost is at least 1 ebit for a resource with Schmidt number 2.
- A gap exists between the minimum entanglement cost and the entangling power of controlled-unitary operations.
Conclusions:
- The study establishes a lower bound on entanglement cost for specific quantum operations.
- The findings highlight the overhead associated with implementing operations obliviously.
- Results contribute to understanding the resource requirements for quantum information processing.
Related Concept Videos
01:28Load-frequency control
Load-frequency control (LFC) is vital for maintaining power system stability, ensuring that frequency and power flows remain within acceptable limits during load changes. Turbine-governor control eliminates rotor accelerations and decelerations following load changes. However, a steady-state frequency error persists when the change in the turbine-governor reference setting is zero. In an interconnected power system, each area agrees to export or import a scheduled amount of power through...
01:36Conversion of Units
Sometimes, there is a need to convert from one unit to another one. For instance, reading a cookbook in which quantities are expressed in units of liters or ounces may require conversion of quantities to cups. Or, when looking up directions on how to get to a location, we may be interested to know how many miles we are going to walk. In this case, we would have to convert units of feet or meters to miles.
The first step in the unit conversion is to list the given units and the units required...
The first step in the unit conversion is to list the given units and the units required...
01:13Parameters Affecting Nonlinear Elimination: Zero-Order Input, First-Order Absorption and Two-Compartment Model
Drugs administered through various routes can lead to nonlinear elimination, resulting in complex pharmacokinetic behaviors crucial to understanding efficacious drug dosing.
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
When a drug is administered through a constant intravenous infusion and eliminated via nonlinear pharmacokinetics, it follows zero-order input. For example, oral drugs undergo first-order absorption upon administration and are eliminated through nonlinear pharmacokinetics.
In the case of subcutaneously administered drugs,...
01:14Conservation of Energy in Control Volume
Consider a turbine operating under steady-flow conditions. The control volume is drawn around the turbine, with fluid entering at one point and exiting at another. The turbine extracts energy from the fluid, which performs mechanical work (shaft work).
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
For steady flow systems, the time derivative of the stored energy becomes zero since there is no energy accumulation within the control volume. This simplifies the energy equation to:
00:59Propagation of Uncertainty from Random Error
An experiment often consists of more than a single step. In this case, measurements at each step give rise to uncertainty. Because the measurements occur in successive steps, the uncertainty in one step necessarily contributes to that in the subsequent step. As we perform statistical analysis on these types of experiments, we must learn to account for the propagation of uncertainty from one step to the next. The propagation of uncertainty depends on the type of arithmetic operation performed on...
01:10Control Systems
Control systems are everywhere in contemporary society, influencing diverse applications from aerospace to automated manufacturing. These systems can be found naturally within biological processes, such as blood sugar regulation and heart rate adjustment in response to stress, as well as in man-made systems like elevators and automated vehicles. A control system is essentially a network of subsystems and processes that collaboratively convert specific inputs into desired outputs.
At the heart...
At the heart...