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The pair of units that measures the same quantity is the calorie and joule. Both calories and joules are units of energy, and they are used to quantify the same concept in different measurement systems.

One calorie is equal to approximately 4.184 joules, which establishes a direct conversion between the two units. This relationship allows for the interchangeability of these units when measuring energy in various contexts, such as in dietary energy content or in the context of physics.

The other pairs of units listed refer to measurements of different types of quantities. For instance, pounds and kilograms measure weight but are from different systems (imperial and metric, respectively). Meters and yards measure length, also from different measurement systems. Liters and quarts measure volume, with quarts being part of the imperial system and liters part of the metric system, but again they represent different systems rather than being equal equivalents.